You are conducting a study to see is the probability of catching the flu this year is significantly more than 0.36. You use a significance level of a=0.10. H0: p=0.36 H1: p> 0.36 You obtain a sample of size n=288 in which there are 108 successes.  What is the test statistic for this sample in three decimal place? What is the p value for this sample in four decimal place? Is p value less than or greater than a? This test statistic leads to a decision to, reject the null, accept the null, or fail to reject the null?

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Q: need help with finding the  -test statistic  -p value - and if it's dail to reject.  Thank You!

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A:

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.