SOLUTION: Test the claim that the proportion of people who own cats is larger than 60% at the 0.025 significance level. The null and alternative hypothesis would be: H0: P = 0.6 H1: P

SOLUTION: Test the claim that the proportion of people who own cats is larger than 60% at the 0.025 significance level. The null and alternative hypothesis would be: H0: P = 0.6 H1: P > 6

Question 1176419: Test the claim that the proportion of people who own cats is larger than 60% at the 0.025 significance level.
The null and alternative hypothesis would be: H0: P = 0.6 H1: P > 6
the test is right tailed
Based on a sample of 400 people, 61% owned cats
The p-value is:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:p<=0.60
Ha:p>0.60
alpha=0.025 p{reject Ho|Ho true}=0.025
test is 1 sample proportion
z=(p hat-p)/sqrt(p*(1-p)/n)
reject for z>1.96
z=0.01/sqrt(.6*.4/400)
=0.408
reject Ho
p-value is 0.34, the value beyond z=0.408 to the right.

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