A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser's claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.

The p-value of the test is approximately 0.

Explanation:

The hypothesis can be defined as:

H₀: The proportion of TV sets tuned in to the show is not less than 20%, p ≥ 0.20.

Hₐ: The proportion of TV sets tuned in to the show is less than 20%, p < 0.20.

Given:

The test statistic is:

The p-value of test is:

*Use a standard normal table.

Thus, the p-value of the test is approximately 0.

ол қонақүйге

oрнатты