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A political study took a sample of 1000 voters in the town and found that 39%...

A political study took a sample of 1000 voters in the town and found that 39% 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 35%. Find the value of the test statistic. Round your answer to two decimal places.

Math   Statistics-And-Probability   
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Answer #1

Solution:

Given ,

n = 1000

Let   be the sample proportion.

= 39% = 0.39

Let p be the population proportion.

Claim to be tested is " p is above 35%  " i.e. " p > 0.35 "

Null and alternative hypothesis are

H0 : p = 0.35

H1 : p > 0.39

The test statistic z is

z =   

=  (0.39 - 0.35)/[0.35*(1 - 0.35)/1000]

= 2.65

The value of the test statistic is z = 2.65

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