A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that nmen≤5%nmen≤5% of all men and nwomen≤5%nwomen≤5% of all women? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place. nmenˆp(1−ˆp)=nmenp^(1-p^)= nwomenˆp(1−ˆp)=nwomenp^(1-p^)= Test the claim: Determine the null and alternative hypotheses. H0H0: pmenpmen pwomenpwomen HaHa: pmenpmen pwomenpwomen The hypothesis test is left-tailed two-tailed right-tailed Determine the test statistic. Round to two decimal places. x=x= Find the pp-value. Round to four decimal places. pp-value = Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis. Write the conclusion. There is not enough evidence to support the veterinarian's belief. There is enough evidence to support the veterinarian's belief.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level.

Preliminary:

Is it safe to assume that

nmen≤5%nmen≤5% of all men and
nwomen≤5%nwomen≤5% of all women?
- Yes
- No
Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.

nmenˆp(1−ˆp)=nmenp^(1-p^)=
nwomenˆp(1−ˆp)=nwomenp^(1-p^)=

Test the claim:

Determine the null and alternative hypotheses.

H0H0: pmenpmen pwomenpwomen
HaHa: pmenpmen pwomenpwomen
The hypothesis test is
- left-tailed
- two-tailed
- right-tailed
Determine the test statistic. Round to two decimal places.
x=x=
Find the pp-value. Round to four decimal places.
pp-value =
Make a decision.
- Fail to reject the null hypothesis.
- Reject the null hypothesis.
Write the conclusion.
- There is not enough evidence to support the veterinarian's belief.
- There is enough evidence to support the veterinarian's belief.