You wish to test the following claim (Ha) at a significance level of =0.001. Ho:

Question

You wish to test the following claim (Ha) at a significance level of =0.001.

      Ho:p=0.15
      Ha:p>0.15

You obtain a sample of size n=295 in which there are 52 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming Ho is true) the probability of observing...

at most 52 successful observations or at least 52 successful observations (?)

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Explanation / Answer

Let X is a random variable shows the number of successful observations out of n=295. Here X has binomial distribution with parameters n=295 and p=0.15.

The p-value is "at least 52 successful observations"

The p-value is using excel function "=1-BINOMDIST(51,295,0.15,TRUE)" is,

p-value = 0.1199

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