Test the claim that the proportion of men who own cats is significantly different than 30% at
the 0.1 significance level.
The null and alternative hypothesis would be:
H_0: mu = 0.3
H 1: mu> 0.3
H_0: mu = 0.3 H_0: p= 0,3'
H_1: mu 0.3
H 1: p<0.3
The test is:
left-tailed right-tailed two-tailed
Based on a sample of 50 people, 26% owned cats
The test statistic is:
The positive critical value is:
Based on this we:
H_0: p = 0.3
H_1: p>0.3
Reject the null hypothesis
Fail to reject the null hypothesis
(to 2 decimals)
H_0: p=0.3 'H_0: mu = 0.3
H 1: p0.3 H 1: mu<0.3
(to 2 decimals)