Statistics
posted by Sandy on .
Consider the hypothesis test given by Ho:u=530, H1:u does not equal 530. In a random sample of 85 subjects, the sample mean is found to be 522.3. Also, the population standard deviation is 29.
Determine the Pvalue for this test. Is there sufficient evidence to justify the rejection of Ho at the a=0.01 level? Explain and show work.

Use a onesample ztest.
z = (sample mean  population mean)/(standard deviation divided by the square root of the sample size)
With your data:
z = (522.3  530)/(29/√85) = ?
Finish the calculation.
Check a ztable at .01 level of significance for a twotailed test (H1 does not show a specific direction; therefore, the test is twotailed.)
If the ztest statistic exceeds the critical value from the ztable, reject the null and conclude H1 ≠ 530. If the ztest statistic does not exceed the critical value from the ztable, do not reject the null. If you determine the Pvalue, check the table using the ztest statistic. The Pvalue is the actual level of the test statistic.
I hope this will help get you started.