Question

A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 190 found that 41% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.

Answer 1

-1.00

Explanation:

Given that a publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

Sample size n =190

Sample proportion p = 0.41

`H_0: p = 0.45\\H_a: p \\eq 0.45`

(Two tailed test )

Assuming H0 to be true

std error =
`√(pq/n) =√(0.45*0.55/155) \\=0.0400`

p difference = -0.04

Test statistic = p differencce/std error

= -1

Hence test statistic is -1.00