The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Find the value of the test statistic. Round your answer to two decimal places.

The value of the test statistic is t = 2.19.

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.

Sample of 1300 voters:

This means that

Found that 45% of the residents favored construction.

This means that

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.

This means that , and by the Central Limit Theorem:

So, the test statistic is:

The value of the test statistic is t = 2.19.

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answer: answer is b.

[m < b = 120º]

step-by-step explanation: