Question

Consider the following hypothesis test:Ho: p = 0.5 Ha: p not 0.5

A sample of 800 provided a sample proportion of 0.58

Using a level of significance = .05 what is the rejection rule?

Answer 1

Solution :

This hypothesis test is a two tailed test .

The null and alternative hypothesis is

H0 : p = 0.5

Ha : p 0.5

= 0.58

n=800

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.58 - 0.5 [(0.5* 0.5) / 800]

Test statistic = 4.525

Critical values are : -1.96 , +1.96

Rejection region is

z<-1.96 or z>1.96 reject Ho

hence Z>1.96 hence we reject Ho