Question

A publisher reports that 79% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 200 found that 82% of the readers owned a laptop. Is there sufficient evidence at the 0.02 level to support the executive's claim?

Step 6 of 7:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H0 : p = 0.79

Ha : p > 0.79

= 0.82

P0 = 0.79

1 - P0 = 1 - 0.79 = 0.21

Test statistic = z =

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

= 0.82 - 0.79 / [(0.79 * 0.21) / 200 ]

Test statistic = z = 1.04

P(z > 1.04) = 1 - P(z < 1.04) = 1 - 0.8508

P-value = 0.1492

= 0.02

P-value >

Fail to reject the null hypothesis