A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is smaller 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, 40% owned cats. In the second sample of 60 women, 45% owned cats. Test the veterinarian's belief at the `alpha=0.025` significance level. Preliminary: a. Is it safe to assume that `n_(text{men}) le 5% of all men and `n_(text{women}) < <= 5% of all women? No Yes b. Verify `n hatp(1 - hatp) ge 10. Round your answer to one decimal place. `n_(text{men}) hatp (1-hatp) = ` `n_(text{women}) hatp (1-hatp) = ` Test the claim: a. Determine the null and alternative hypotheses. `H_0': `p_(text{men})? ✓ `p_(text{women})` 'H_a': `p_(text{men})? ✓ `p_(text{women})` b. The hypothesis test is O two-tailed left-tailed Oright-tailed c. Determine the test statistic. Round to two decimal places. Z= d. Find the `p`-value. Round to four decimal places. `p`-value =
A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is smaller 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, 40% owned cats. In the second sample of 60 women, 45% owned cats. Test the veterinarian's belief at the `alpha=0.025` significance level. Preliminary: a. Is it safe to assume that `n_(text{men}) le 5% of all men and `n_(text{women}) < <= 5% of all women? No Yes b. Verify `n hatp(1 - hatp) ge 10. Round your answer to one decimal place. `n_(text{men}) hatp (1-hatp) = ` `n_(text{women}) hatp (1-hatp) = ` Test the claim: a. Determine the null and alternative hypotheses. `H_0': `p_(text{men})? ✓ `p_(text{women})` 'H_a': `p_(text{men})? ✓ `p_(text{women})` b. The hypothesis test is O two-tailed left-tailed Oright-tailed c. Determine the test statistic. Round to two decimal places. Z= d. Find the `p`-value. Round to four decimal places. `p`-value =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 smaller 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, 40% owned cats. In the second sample of 60 women, 45% owned cats. Test the
veterinarian's belief at the `alpha=0.025` significance level.
Preliminary:
a. Is it safe to assume that
`n_(text{men}) le 5%` of all men and
`n_(text{women})
<= 5%` of all women?
O No
Yes
b. Verify `n hatp(1 - hatp) ge 10. Round your answer to one decimal place.
`n_(text{men}) hatp (1-hatp) =`
`n_(text{women}) hatp (1-hatp) =`
Test the claim:
a. Determine the null and alternative hypotheses.
`H_0`: `p_(text{men})` ? ✓ `p_(text{women})`
`H_a`: `p_(text{men})`[? ✓] `p_(text{women})`
b. The hypothesis test is
two-tailed
left-tailed
O right-tailed
c. Determine the test statistic. Round to two decimal places.
`Z=`
d. Find the `p`-value. Round to four decimal places.
`p`-value](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1831e65-ef6c-4a4d-8be0-ff7fbf46bd4a%2Fd430f470-75ad-4d3a-b97c-c1cd51c9cb76%2Fnvq61k_processed.png&w=3840&q=75)
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 smaller 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, 40% owned cats. In the second sample of 60 women, 45% owned cats. Test the
veterinarian's belief at the `alpha=0.025` significance level.
Preliminary:
a. Is it safe to assume that
`n_(text{men}) le 5%` of all men and
`n_(text{women})
<= 5%` of all women?
O No
Yes
b. Verify `n hatp(1 - hatp) ge 10. Round your answer to one decimal place.
`n_(text{men}) hatp (1-hatp) =`
`n_(text{women}) hatp (1-hatp) =`
Test the claim:
a. Determine the null and alternative hypotheses.
`H_0`: `p_(text{men})` ? ✓ `p_(text{women})`
`H_a`: `p_(text{men})`[? ✓] `p_(text{women})`
b. The hypothesis test is
two-tailed
left-tailed
O right-tailed
c. Determine the test statistic. Round to two decimal places.
`Z=`
d. Find the `p`-value. Round to four decimal places.
`p`-value
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