Compute the test statistic used to test the null hypothesis that p 1 = p 2
-A report on the nightly news broadcast stated that 13 out of 111 households with pet dogs were burglarized and 23 out of 190 without pet dogs were burglarized.
A)0.000
B)-0.102
C)-0.041
D)-0.173

Question

Compute the test statistic used to test the null hypothesis that p 1 = p 2 
-A report on the nightly news broadcast stated that 13 out of 111 households with pet dogs were burglarized and 23 out of 190 without pet dogs were burglarized.
A)0.000
B)-0.102
C)-0.041
D)-0.173

Quizplus · Accepted Answer

The test statistic for comparing two proportions (p1 - p2) can be calculated using the formula for the z-test for two proportions. Here, p1 = 13/111 for households with pet dogs and p2 = 23/190 for households without pet dogs. After calculating the pooled proportion and the standard error, the z-score is found to be approximately -0.102, which matches choice B.

Compute the Test Statistic Used to Test the Null Hypothesis