## The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 900900 voters in the town

Question

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 900900 voters in the town and found that 42B% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 388%. Find the value of the test statistic. Round your answer to two decimal places.

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3 years 2021-09-04T16:09:21+00:00 1 Answers 0 views 0

The value of the test statistic is 2.47.

Step-by-step explanation:

The 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.

For a proportion p, we have that:

A political study took a sample of 900 voters in the town and found that 42% of the residents favored annexation.

This means that

Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 38%

This means that the expected is

So

Find the value of the test statistic

The value of the test statistic is 2.47.