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 =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question

I need the right answers clearly.

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax