Suppose we are testing the null hypothesis H0: μ = 13 against the alternative Ha: μ < 13 from a normal population with known standard deviation σ=4. A sample of size 289 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of -2.33 is calculated. (Remember z has a standard normal distribution.) a) What is the p value for this test? b) Would the null value have been rejected if this was a 5% level test? Yes or No
Suppose we are testing the null hypothesis H0: μ = 13 against the alternative Ha: μ < 13 from a normal population with known standard deviation σ=4. A sample of size 289 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of -2.33 is calculated. (Remember z has a standard normal distribution.) a) What is the p value for this test? b) Would the null value have been rejected if this was a 5% level test? Yes or No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose we are testing the null hypothesis H0: μ = 13 against the alternative Ha: μ < 13 from a normal population with known standard deviation σ=4. A sample of size 289 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of -2.33 is calculated. (Remember z has a standard normal distribution.)
a) What is the p value for this test?
b) Would the null value have been rejected if this was a 5% level test?
Yes or No
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