Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level. The null and alternative hypothesis would be:

H
0
:
p
M
=
p
F

H
1
:
p
M
≠
p
F


H
0
:
μ
M
=
μ
F

H
1
:
μ
M
<
μ
F


H
0
:
p
M
=
p
F

H
1
:
p
M
<
p
F


H
0
:
μ
M
=
μ
F

H
1
:
μ
M
≠
μ
F


H
0
:
p
M
=
p
F

H
1
:
p
M
>
p
F


H
0
:
μ
M
=
μ
F

H
1
:
μ
M
>
μ
F



Correct
The test is:
two-tailed
right-tailed
left-tailed
Correct
Based on a sample of 80 men, 25% owned cats
Based on a sample of 40 women, 50% owned cats The test statistic is:
(to 2 decimals)
The critical value is:
(to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis