Assignment: Project 3 Hypothesis Test and Confidence Intervals for p

Math 13 - Perez Sandbox
2026-01-18T05:16:20Z

Due:

Project 3 – Unit 20 Confidence Intervals and Hypothesis test for p - 50 pts

To complete this project you will use the following dataset:

Health_AnimalBites.csv

Download the data onto your computer and open the Art of Stat program

Open the “One Proportion Confidence Interval and Significance Test” application

Upload the file “Health Animal Bites Dataset” into the Art of Stat program

Choose option 1, 2 or 3 and produce a report to upload as a file for the project submission. Make sure to embed screen shots of all hypothesis tests and confidence intervals. Also include screenshot or show calculation of standard error and margin of error in part f

Option 1 : Are dogs causing rabies? Use “SpeciesIDDesc” to perform hypothesis tests and compute confidence intervals for this scenario.

It has been reported that at least 80% of rabies cases in Louisville, KY are caused by dogs. The health organization believes that it is a smaller value. A study is done with a large sample of dogs and the following Null and Alternative hypothesis are formed:

Ho: p = 0.8 Ha: p < 0.8

a) (10 pts) At the 95% level of confidence, can we conclude that at least 80% of rabies cases are caused by dogs? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

b) (10 pts) A second researcher is not satisfied with these results and would like the report to be more confident. At the 99% level of confidence can we conclude that at least 80% of rabies cases are caused by dogs? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

c) (10 pts) Find the 99% confidence interval for rabies cases caused by dogs and state the confidence interval in the context of the problem.

d) (5 pts) Does this interval support the hypothesis test that was just conducted?

e) (5 pts) Are there any factors not mentioned that would make you questions the validity of the hypothesis tests and/or confidence intervals? Explain

f) (10 pts) Verify the standard error and margin of error for the 99% CI (use critical z score of 2.58 to compute margin of error)

Option 2 Are male animals more aggressive? Use “GenderIDDesc” to perform hypothesis test and compute confidence intervals for this scenario

It has been reported that at least 60% of animal attacks in Louisville, KY are inflicted by male animals. A research believes that this is not true and sets of the following null and alternative hypothesis:

Ho: p = 0.6 Ha: p < 0.6

a) (10 pts) At the 90% level of confidence, can we conclude that less than 60% of rabies cases are caused by males? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

b) (10 pts) A second researcher is not satisfied with these results and would like the report to be more confident. At the 99% level of confidence can we conclude that less than 60% of rabies cases are caused by males? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

c) (10 pts) Find the 99% confidence interval for rabies cases caused by male animals and state the confidence interval in the context of the problem.

d) (5 pts) Does this interval support the hypothesis test that was just conducted?

e) (5 pts) Are there any factors you might consider that may have you question the validity of the hypothesis test and/or confidence intervals found? Explain.

f) (10 pts) Verify the standard error and margin of error for the 95% CI (use critical z score of 1.96 to compute the margin of error)

Option 3 Are 14% of animal attacks in Louisville, KY aimed at the head? Use “WhereBittenIDDesc” to perform hypothesis tests and compute confidence intervals for this scenario

There has been a claim that 14% of animal attacks on humans in Louisville are aimed at the head or face. An animal rights groups wants to dispute this claim and feels that the proportion of animal attacks aimed at the head has a different value. The following Hypotheses have been formed to test this claim.

Ho: p = 0.14 Ha: p≠ 0.14

a) (10 pts) Determine if the proportion of head attacks is equal to 14% at the 90% level of significance. For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

b) (10 pts) A second animal rights group is not convinced of the results of the previous study and would like to be more confident in the results and required a second test to be conducted at the 99% significance level . Determine if proportion of head attacks can be proven to be different than

14% at the 99% level of significance. For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

c) (10 pts) Find the 99% confidence interval for animal bites to the head and state the confidence interval in the context of the problem.

d) (5 pts) Does this interval support the hypothesis test that was just conducted?

e) (5 pts) Are there any factors not mentioned that would make you questions the validity of the hypothesis tests and/or confidence intervals? Explain

f) (10 pts) Verify the standard error and margin of error for the 99% confidence interval for p (use critical z score of 2.58 to compute the margin of error)

About Dataset

Context:

In the United States, animal bites are often reported to law enforcement (such as animal control). The main concern with an animal bite is that the animal may be rabid. This dataset includes information on over 9,000 animal bites which occurred near Louisville, Kentucky from 1985 to 2017 and includes information on whether the animal was quarantined after the bite occurred and whether that animal was rabid.

Content:

Attributes of animal bite incidents reported to and investigated by Louisville Metro Department of Public Health and Wellness. Personal/identifying data has been removed. This dataset is a single .csv with the following fields.

bite_date: The date the bite occurred

SpeciesIDDesc: The species of animal that did the biting

BreedIDDesc: Breed (if known)

GenderIDDesc: Gender (of the animal)

color: color of the animal

vaccination_yrs: how many years had passed since the last vaccination

vaccination_date: the date of the last vaccination

victim_zip: the zipcode of the victim

AdvIssuedYNDesc: whether advice was issued

WhereBittenIDDesc: Where on the body the victim was bitten

quarantine_date: whether the animal was quarantined

DispositionIDDesc: whether the animal was released from quarantine

head_sent_date: the date the animal’s head was sent to the lab

release_date: the date the animal was released

ResultsIDDesc: results from lab tests (for rabies)

Acknowledgements:

Attributes of animal bite incidents reported to and investigated by Louisville Metro Department of Public Health and Wellness. This data is in the public domain.

Project 3 – Unit 20 Confidence Intervals and Hypothesis test for p - 50 pts

To complete this project you will use the following dataset:

Health_AnimalBites.csv

Download the data onto your computer and open the Art of Stat program

Open the “One Proportion Confidence Interval and Significance Test” application

Upload the file “Health Animal Bites Dataset” into the Art of Stat program

Choose option 1, 2 or 3 and produce a report to upload as a file for the project submission. Make sure to embed screen shots of all hypothesis tests and confidence intervals. Also include screenshot or show calculation of standard error and margin of error in part f

Option 1 : Are dogs causing rabies? Use “SpeciesIDDesc” to perform hypothesis tests and compute confidence intervals for this scenario.

It has been reported that at least 80% of rabies cases in Louisville, KY are caused by dogs. The health organization believes that it is a smaller value. A study is done with a large sample of dogs and the following Null and Alternative hypothesis are formed:

Ho: p = 0.8 Ha: p < 0.8

a) (10 pts) At the 95% level of confidence, can we conclude that at least 80% of rabies cases are caused by dogs? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

b) (10 pts) A second researcher is not satisfied with these results and would like the report to be more confident. At the 99% level of confidence can we conclude that at least 80% of rabies cases are caused by dogs? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

c) (10 pts) Find the 99% confidence interval for rabies cases caused by dogs and state the confidence interval in the context of the problem.

d) (5 pts) Does this interval support the hypothesis test that was just conducted?

e) (5 pts) Are there any factors not mentioned that would make you questions the validity of the hypothesis tests and/or confidence intervals? Explain

f) (10 pts) Verify the standard error and margin of error for the 99% CI (use critical z score of 2.58 to compute margin of error)

Option 2 Are male animals more aggressive? Use “GenderIDDesc” to perform hypothesis test and compute confidence intervals for this scenario

It has been reported that at least 60% of animal attacks in Louisville, KY are inflicted by male animals. A research believes that this is not true and sets of the following null and alternative hypothesis:

Ho: p = 0.6 Ha: p < 0.6

a) (10 pts) At the 90% level of confidence, can we conclude that less than 60% of rabies cases are caused by males? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

b) (10 pts) A second researcher is not satisfied with these results and would like the report to be more confident. At the 99% level of confidence can we conclude that less than 60% of rabies cases are caused by males? For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

c) (10 pts) Find the 99% confidence interval for rabies cases caused by male animals and state the confidence interval in the context of the problem.

d) (5 pts) Does this interval support the hypothesis test that was just conducted?

e) (5 pts) Are there any factors you might consider that may have you question the validity of the hypothesis test and/or confidence intervals found? Explain.

f) (10 pts) Verify the standard error and margin of error for the 95% CI (use critical z score of 1.96 to compute the margin of error)

Option 3 Are 14% of animal attacks in Louisville, KY aimed at the head? Use “WhereBittenIDDesc” to perform hypothesis tests and compute confidence intervals for this scenario

There has been a claim that 14% of animal attacks on humans in Louisville are aimed at the head or face. An animal rights groups wants to dispute this claim and feels that the proportion of animal attacks aimed at the head has a different value. The following Hypotheses have been formed to test this claim.

Ho: p = 0.14 Ha: p≠ 0.14

a) (10 pts) Determine if the proportion of head attacks is equal to 14% at the 90% level of significance. For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

b) (10 pts) A second animal rights group is not convinced of the results of the previous study and would like to be more confident in the results and required a second test to be conducted at the 99% significance level . Determine if proportion of head attacks can be proven to be different than

14% at the 99% level of significance. For full credit, Use the p-value and compare the significance level stated. Fail to reject or reject the null hypothesis, and state conclusion in context of the alternative hypothesis

c) (10 pts) Find the 99% confidence interval for animal bites to the head and state the confidence interval in the context of the problem.

d) (5 pts) Does this interval support the hypothesis test that was just conducted?

e) (5 pts) Are there any factors not mentioned that would make you questions the validity of the hypothesis tests and/or confidence intervals? Explain

f) (10 pts) Verify the standard error and margin of error for the 99% confidence interval for p (use critical z score of 2.58 to compute the margin of error)

About Dataset

Context:

In the United States, animal bites are often reported to law enforcement (such as animal control). The main concern with an animal bite is that the animal may be rabid. This dataset includes information on over 9,000 animal bites which occurred near Louisville, Kentucky from 1985 to 2017 and includes information on whether the animal was quarantined after the bite occurred and whether that animal was rabid.

Content:

Attributes of animal bite incidents reported to and investigated by Louisville Metro Department of Public Health and Wellness. Personal/identifying data has been removed. This dataset is a single .csv with the following fields.

bite_date: The date the bite occurred

SpeciesIDDesc: The species of animal that did the biting

BreedIDDesc: Breed (if known)

GenderIDDesc: Gender (of the animal)

color: color of the animal

vaccination_yrs: how many years had passed since the last vaccination

vaccination_date: the date of the last vaccination

victim_zip: the zipcode of the victim

AdvIssuedYNDesc: whether advice was issued

WhereBittenIDDesc: Where on the body the victim was bitten

quarantine_date: whether the animal was quarantined

DispositionIDDesc: whether the animal was released from quarantine

head_sent_date: the date the animal’s head was sent to the lab

release_date: the date the animal was released

ResultsIDDesc: results from lab tests (for rabies)

Acknowledgements:

Attributes of animal bite incidents reported to and investigated by Louisville Metro Department of Public Health and Wellness. This data is in the public domain.