Question

Test the claim that the proportion of men who own cats is larger than 90% at the .05 significance level.

The null and alternative hypothesis is:

H0:p=0.9
H1:p>0.9

Based on a sample of 80 people, 99% owned cats

The test statistic is: _______ (to 2 decimals)

The critical value is: _______ (to 2 decimals)

Answer 1

The test statistic z = (p - P)/sqrt(P(1 - P)/n)

                             = (0.99 - 0.9)/sqrt(0.9 * 0.1/80)

                             = 2.68

At 0.05 significance level, the critical value is z_0.95 = 1.65