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> = ![\frac{0.62-0.59}{{\sqrt{\frac{0.62(1-0.62)}{900} } } } }](https://tex.z-dn.net/?f=%5Cfrac%7B0.62-0.59%7D%7B%7B%5Csqrt%7B%5Cfrac%7B0.62%281-0.62%29%7D%7B900%7D%20%7D%20%7D%20%7D%20%7D)
= 1.85
The value of the test statistics is 1.85.