In a hypothesis test with hypotheses H_(0):\mu =24 and H_(1):\mu !=24, a random sample of 38 elements selected from the population produced a mean of 22.8. Assume that \sigma =5.2, and that the test is to be made at the ,,% significance level.
What are the critical values of z ?
-1.96 and 1.96
-2.17 and 2.17
-1.645 and 1.645
-2.07 and 2.07
What is the value of the test statistic, z, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?