Question

A candidate for political office wants to determine if there is a difference in his popularity between men and women. To test the claim of this difference, he conducts a survey of voters. The sample contains 250 men and 250 women, of which 44% of the men and 52% of the women favor his candidacy. Do these values indicate a difference in popularity? Use a 0.01 significance level.

z-stat =           Round to 2 decimal places.

p-value =       Round to 4 decimal places.

Answer 1

The statistical software output for this problem is:

Two sample proportion summary hypothesis test: P1 proportion of successes for population 1 P2 proportion of successes for population 2 P1-P2 Difference in proportions Ho P1 -P2 0 HA P1-P2 0 Hypothesis test results: Std. Err Difference Count1 Total1 Count2 Total2 Sample Diff. Z-Stat P-value 110 250 130 250 -0.08 0.044685568 -1.7902872 0.0734 P1 P2

Hence,

z - stat = -1.79

p - Value = 0.0734