The proportion of people that own cats is 20%. A veterinarian believes that this proportion is larger than 20% and surveys 100 people. Test the veterinarian's claim at the a=0.025 significance level.Is it safe to assume that n ≤0.05 of all subjects in the population?NoYesVerify np(1-p)≥10. Round your answer to one decimal place.np(1-p)= The null and alternative hypotheses areHo:p=0.2Ha:p<0.2Ho:μ ≥0.2Ha:μ<0.2Ho:p≤0.2Ha:p>0.2Ho:μ≤0.2Ha:μ>0.2Ho:p=0.2Ha:p≠0.2Ho:μ=0.2Ha: μ ≠0.2The test is a. right-tailed, b. two-tailed c. left-tailedBased on the sample of 100 people, 23% owned cats. Calculate the test statistic. Round to two decimal places.z = Calculate the p -value. Round to four decimal places.Make a decision.Fail to reject the null hypothesisReject the null hypothesisMake a conclusion.There is sufficient evidence that the proportion of people who own cats is larger.There is not sufficient evidence that the proportion of people who own cats is larger.

Given information:n= 100 sample size

Answered: The proportion of people that own cats…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The proportion of people that own cats is 20%. A veterinarian believes that this proportion is larger than 20% and surveys 100 people. Test the veterinarian's claim at the a=0.025 significance level.

Is it safe to assume that n ≤0.05 of all subjects in the population?
- No
- Yes
Verify np(1-p)≥10. Round your answer to one decimal place.

np(1-p)=
The null and alternative hypotheses are
- Ho:p=0.2
  Ha:p<0.2
- Ho:μ ≥0.2
  Ha:μ<0.2
- Ho:p≤0.2
  Ha:p>0.2
- Ho:μ≤0.2
  Ha:μ>0.2
- Ho:p=0.2
  Ha:p≠0.2
- Ho:μ=0.2
  Ha: μ ≠0.2
The test is
a. right-tailed, b. two-tailed c. left-tailed
Based on the sample of 100 people, 23% owned cats. Calculate the test statistic. Round to two decimal places.
z =
Calculate the p -value. Round to four decimal places.
Make a decision.
- Fail to reject the null hypothesis
- Reject the null hypothesis
Make a conclusion.
- There is sufficient evidence that the proportion of people who own cats is larger.
- There is not sufficient evidence that the proportion of people who own cats is larger.