MATH SOLVE

2 months ago

Q:
# You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. You sample 60 men, and 45% own cats. You sample 120 women, and 35% own cats. Find the test statistic, rounded to two decimal places. Find the test statistic, rounded to two decimal places.

Accepted Solution

A:

Answer:Test statistic =1.30Step-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 DifferenceSample size n 60 120Proportion p_1, p_2 0.45 0.35 0.1060 120 180
0.45 0.35 0.383333333
27 42 69
p = 0.3833Std 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