You wish to test the following claim a significance level of =0.05 . Ho:p=0.19 H

Question

You wish to test the following claim a significance level of =0.05 . Ho:p=0.19 Ha:p0.19 You obtain a sample of size n=747 in which there are 159 successful observations. What is the test statistic for this sample? test statistic = Round to 3 decimal places. What is the p-value for this sample? P-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) greater than This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.19. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.19. The sample data support the claim that the population proportion is not equal to 0.19. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.19

Explanation / Answer

p=0.19 ; n=747

here std error =(p(1-p)/n)1/2 =0.0144

sample proportion phat=159/747=0.213

therefore test statistic z=(phat-p)/std error =1.592

pvalue =0.1114

The p-value is greater than This test statistic leads to a decision to  fail to reject the null As such, the final conclusion is that

There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.19.

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