Question

A publisher reports that 72% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 380 found that 67% of the readers owned a personal computer. Find the value of the test statistic. Round your answer to two decimal places.

Answer 1

Answer: The value of the test statistic to 2 d.p is z= 1.65

Explanation:

P cap= 0.72

n= 170

P= 0.66

q= 1- p

q= 1- 0.66

q= 0.34

Z=( p cap - p)/√(p*q)/n

Z= (0.72- 0.66)/√(0.66*0.34)/170

Z= 0.06/0.036332

Z= 1.65