Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.01 significance level.
The null and alternative hypothesis would be:
H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
H0:μ=0.7H0:μ=0.7
H1:μ>0.7H1:μ>0.7
H0:μ=0.7H0:μ=0.7
H1:μ<0.7H1:μ<0.7
H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7
H0:p=0.7H0:p=0.7
H1:p>0.7H1:p>0.7
H0:p=0.7H0:p=0.7
H1:p<0.7H1:p<0.7
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 25 people, 64% owned cats
The test statistic is: (to 2 decimals)
The positive critical value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis