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 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null hypothesis. Reject the null hypothesis. f. Write the conclusion. O There is enough evidence to support the veterinarian's belief. O There is not enough evidence to support the veterinarian's belief.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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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 60 men,
35% owned cats. In the second sample of 80 women, 60%
owned cats. Test the veterinarian's belief at the a =
significance level.
Preliminary:
a. Is it safe to assume that
nmen 5% of all men and
nwomen
5% of all women?
0.05
Yes
No
b. Verify np (1 - p) ≥ 10. Round your answer to one
decimal place.
np (1 − p)
nmen
=
nwomen (1 - p)
Test the claim:
=
a. Determine the null and alternative hypotheses.
Ho: Pmen?
Pwomen
Ha Pmen ? Pwomen
b. The hypothesis test is
right-tailed
left-tailed
two-tailed
c. Determine the test statistic. Round to two decimal
places.
z =
d. Find the p-value. Round to four decimal places.
p-value
e. Make a decision.
O Fail to reject the null hypothesis.
Reject the null hypothesis.
f. Write the conclusion.
O There is enough evidence to support the
veterinarian's belief.
O There is not enough evidence to support the
veterinarian's belief.
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 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null hypothesis. Reject the null hypothesis. f. Write the conclusion. O There is enough evidence to support the veterinarian's belief. O There is not enough evidence to support the veterinarian's belief.
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