Test the claim that the proportion of men who own cats is larger than 20% at the

ID: 3260707 • Letter: T

Question

Test the claim that the proportion of men who own cats is larger than 20% at the .025 significance level.

The null and alternative hypothesis would be:

H0:p=0.2
H1:p<0.2

H0:=0.2
H1:>0.2

H0:=0.2
H1:<0.2

H0:p=0.2
H1:p>0.2

H0:p=0.2
H1:p0.2

H0:=0.2
H1:0.2

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 55 people, 28% owned cats

The test statistic is: (to 2 decimals)_____________________

The critical value is: (to 2 decimals)_______________________

Based on this we:

Fail to reject the null hypothesis

Reject the null hypothesis

The hypothesis would be

H0: p = 0.2

H1: p>0.2

Test statistic = (0.28-0.20)/Sqrt(0.20*0.80/55) = 1.48

Critical value = 1.96

Fail to reject the null hypothesis (because test statistic is less than critical value)

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