In: Statistics and Probability
You are testing the claim that the proportion of men who own
cats is smaller than the proportion of women who own cats.
You sample 180 men, and 75% own cats.
You sample 120 women, and 15% own cats.
Find the test statistic, rounded to two decimal places.
Null hypothesis
H0:P1=P2
Alternative hypothesis
H1:P1<P2
We have given for the example
x1=135
n1=180
x2=18
n2=120
Estimate for sample proportion 1
Estimate for sample proportion 2
Pooled proportion
Z test statistic formula is
=10.18