Question

For a test of H0: p = 0.33 vs. Ha: p ≠ 0.33, the sample of size 101 shows 47 successes. Find the z test statistic. Round to two decimal places

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H0 : p = 0.33

Ha : p 0.33

= x / n = 47 / 101 = 0.4653

1 - P0 = 1 - 0.33 = 0.67

Test statistic = z

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

= 0.4653 - 0.33 / [(0.33 * 0.67) / 101]

= 2.89

The z test statistic is 2.89