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Sagot :
As per the concept of hypothesis testing, the p-value of the test static is 0.0837
Hypothesis testing:
In statistics, when the alternative hypothesis is of the "greater than or greater than or equal to" type, the p-value can be calculated by calculating the probability of the z statistic being greater than the test statistic value.
Given,
Here we have the mayor of a town has proposed a plan for the annexation of a new community. and the political study took a sample of 800 voters in the town and found that 63% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 60%. testing at the 0.02 level.
Here we need to find the p-value of the test statistic.
While we looking into the given question we have identified the following hypothesis,
=> H0 : p <=0.6
=> H1: p > 0.6
And the value of alpha=0.02 p{reject H0 | H0 true} test statistic is a z from a 1 way 1 proportion test
So, the z value is z> 7.1286
Then the z value is calculated as,
=> 0.03/sqrt(0.6*0.63/800)
=> z = 1.3801
Therefore, the reject H0, the true proportion is greater than 60% and the p-value is 0.0837
To know more about hypothesis testing here.
https://brainly.com/question/17099835
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