The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 900 voters in the town and found that 62% 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 above 59%. Find the value of the test statistic. Round your answer to two decimal places.

The value of the test statistics is 1.85.

Step-by-step explanation:

We are given that a political study took a sample of 900 voters in the town and found that 62% 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 above 59%.

Let p = percentage of residents who favor construction.

SO, Null Hypothesis, : p 59%   {means that the percentage of residents who favor construction is below or equal to 59%}

Alternate Hypothesis, : p > 59%   {means that the percentage of residents who favor construction is above 59%}

The test statistics that will be used here is One-sample z proportion statistics;

                                 T.S.  =  ~ N(0,1)

where, = percentage of residents who favor construction in a sample of 900 voters = 62%

           n = sample of voters = 900

So, test statistics  =  

                              =  1.85

The value of the test statistics is 1.85.

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