Answer:
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%.
<u><em>Let p = percentage of residents who favor construction.</em></u>
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 <u>One-sample z proportion</u> <u>statistics</u>;
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, <u><em>test statistics</em></u> =
= 1.85
The value of the test statistics is 1.85.