Question

In a recent Super Bowl, a TV network predicted that 65 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 71 people who saw the commercials and found that 48 of them said they would watch one of the television shows.

Suppose you are have the following null and alternative hypotheses for a test you are running:

H0:p=0.65H0:p=0.65
Ha:p<0.65Ha:p<0.65

Calculate the test statistic, rounded to 3 decimal places

z

Answer 1

n = sample size = Group sampled 71 people who saw the commercials = 71

x = Found that 48 of them said they would watch one of the television shows = 48

We have given hypothesis as

H0:p=0.65    Vs   Ha:p<0.65

The formula for test statistics.

We have p =0.65 for H0 hypothesis

We round the value of test statistics up to 3 decimal place

Final answer:-

Test statistics = Z = 0.460