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

H0:pM=pF

H

1

:

p

M

<

p

F

H1:pM

H

0

:

p

M

=

p

F

H0:pM=pF

H

1

:

p

M

>

p

F

H1:pM>pF

H

0

:

p

M

=

p

F

H0:pM=pF

H

1

:

p

M

p

F

H1:pMpF

H

0

:

M

=

F

H0:M=F

H

1

:

M

F

H1:MF

H

0

:

M

=

F

H0:M=F

H

1

:

M

<

F

H1:M

H

0

:

M

=

F

H0:M=F

H

1

:

M

>

F

H1:M>F

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 40 men, 25% owned cats

Based on a sample of 80 women, 40% owned cats

The test statistic is:(to 2 decimal places)

The p-value is:(to 4 decimal places)

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis