Question

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be:

• $H_0:p_M=p_F$
  $H_1:p_M>p_F$
  
  

• $H_0:{\mu }_M={\mu }_F$
  $H_1:{\mu }_M>{\mu }_F$
  
  

• $H_0:{\mu }_M={\mu }_F$
  $H_1:{\mu }_M<{\mu }_F$
  
  

• $H_0:p_M=p_F$
  $H_1:p_M<p_F$
  
  

• $H_0:p_M=p_F$
  $H_1:p_M\ne p_F$
  
  

• $H_0:{\mu }_M={\mu }_F$
  $H_1:{\mu }_M\ne {\mu }_F$
  
  

The test is:

• right-tailed

• two-tailed

• left-tailed

Based on a sample of 20 men, 25% owned cats
Based on a sample of 20 women, 50% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

• Fail to reject the null hypothesis

• Reject the null hypothesis

•