In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 : μ > 45 , a random sample of 69 elements selected from the population produced a mean of 47.3. Assume that σ = 7.3, and that the test is to be made at the 2.5% significance level. What is the critical value of z? -1.96 1.96 -1.65 1.65 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?
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The null and alternative hypothesis is ,
The test is one-tailed test.
The critical value is ,
; From Z-table
The value of the test statistic is ,
The p-value is ,
p-value=
The Excel function is , =1-NORMDIST(2.617,0,1,TRUE)
Decision : Here , p-value < 2.5%=0.025
Therefore , reject the null hypothesis.
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