Answer:
Test statistic =1.30
Step-by-step explanation:
Given that you are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.
Men Women Difference
Sample size n 60 120
Proportion p_1, p_2 0.45 0.35 0.10
60 120 180
0.45 0.35 0.383333333
27 42 69
p = 0.3833
Std error for proportion difference = [tex]\bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})\\=0.3833(0.6167)(\frac{1}{60}+\frac{1}{120})\\=0.0769[/tex]
Test statistic = [tex]\frac{p_1-p_2}{\bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2}) }[/tex]
=[tex]1.3008[/tex]
=1.30
