The proportion of people that own cats is 80%. A veterinarian believes that this proportion is smaller than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O No 0³ ✓ b. Verify np(1-p) ≥ 10. Round your answer to one decimal place. np(1-p) = Yes Test the claim: a. The null and alternative Ο Ho: μ < 0.8 Ha:μ> 0.8 Ο 2= Ho: μ 2 0.8 Ha: μ < 0.8 Ho: p=0.8 Ha:p < 0.8 b. The test is left-tailed hypotheses are Ho: p = 0.8 Ha:p = 0.8 Ο Ho: μ = 0.8 Ha: 0.8 Ho:p ≤ 0.8 Ha:p> 0.8 c. Based on the sample of 500 people, 73% owned cats. Calculate the test statistic. Round to two decimal places. d. Calculate the p-value. Round to four decimal places.
The proportion of people that own cats is 80%. A veterinarian believes that this proportion is smaller than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.025 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O No 0³ ✓ b. Verify np(1-p) ≥ 10. Round your answer to one decimal place. np(1-p) = Yes Test the claim: a. The null and alternative Ο Ho: μ < 0.8 Ha:μ> 0.8 Ο 2= Ho: μ 2 0.8 Ha: μ < 0.8 Ho: p=0.8 Ha:p < 0.8 b. The test is left-tailed hypotheses are Ho: p = 0.8 Ha:p = 0.8 Ο Ho: μ = 0.8 Ha: 0.8 Ho:p ≤ 0.8 Ha:p> 0.8 c. Based on the sample of 500 people, 73% owned cats. Calculate the test statistic. Round to two decimal places. d. Calculate the p-value. Round to four decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The proportion of people that own cats is 80%. A veterinarian believes that this proportion is smaller than
80% and surveys 500 people. Test the veterinarian's claim at the a = 0.025 significance level.
Preliminary:
a. Is it safe to assume that n ≤ 0.05 of all subjects in the population?
O No
Yes
b. Verify np(1 − p) ≥ 10. Round your answer to one decimal place.
np(1 - p)
Test the claim:
a. The null and alternative hypotheses are
Ο Ho:μ < 0.8
Ha: μ > 0.8
=
Ho: μ > 0.8
Ha: μ < 0.8
b. The test is
left-tailed
z =
Ho:p
0.8
Ha:p < 0.8
=
Ho:p = 0.8
Ha:p 0.8
0.8
Ho:μ
Ha:μ‡0.8
=
Ho:p ≤ 0.8
Ha:p> 0.8
c. Based on the sample of 500 people, 73% owned cats. Calculate the test statistic. Round to two
decimal places.
d. Calculate the p-value. Round to four decimal places.
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