A publisher reports that 52% 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 180 found that 46% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.

The value of the test statistic is

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation

Our test statistic is:

In which X is the sample mean, is the expected mean, is the standard deviation and n is the size of the sample.

A publisher reports that 52% of their readers own a laptop.

This means that

Sample of 180:

Means that

By the Central Limit Theorem:

A random sample of 180 found that 46% of the readers owned a laptop.

This means that

Find the value of the test statistic.

The value of the test statistic is