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, 35% owned cats. In the second sample of 80 women, 50% owned cats. Test the veterinarian's belief at the a = 0.02 significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? Yes No b. Verify nô(1 - pô) ≥ 10. Round your answer to one decimal place. nmenp(1 - p) = menê(1 − p) = nwomen Test the claim: a. Determine the null and alternative hypotheses. Ho: Pmen Ha: Pmen #v 2= OB Pwomen Pwomen b. The hypothesis test is O left-tailed Oright-tailed two-tailed c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value =

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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, 35% owned cats. In the second sample of 80 women, 50% owned cats. Test the
veterinarian's belief at the a = 0.02 significance level.
Preliminary:
a. Is it safe to assume that
nmen 5% of all men and
nwomen 5% of all women?
Yes
No
b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place.
nmenp(1 - p)
nwomenê (1 - p)
Test the claim:
=
Ho: Pmen
Ha: Pmen ✓
a. Determine the null and alternative hypotheses.
=
2 =
Pwomen
Pwomen
b. The hypothesis test is
left-tailed
right-tailed
two-tailed
c. Determine the test statistic. Round to two decimal places.
d. Find the p-value. Round to four decimal places.
p-value =
Transcribed Image Text: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, 35% owned cats. In the second sample of 80 women, 50% owned cats. Test the veterinarian's belief at the a = 0.02 significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. nmenp(1 - p) nwomenê (1 - p) Test the claim: = Ho: Pmen Ha: Pmen ✓ a. Determine the null and alternative hypotheses. = 2 = Pwomen Pwomen b. The hypothesis test is left-tailed right-tailed two-tailed c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value =
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