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Professor Johnson suspects his new class of social science majors scored higher on his midterm exams than previous years. After measuring the mean of 40 exams, and using a known population standard deviation, he calculates a test statistic of z0=0.73. Using the alternative hypothesis Ha:μ>0.72, determine the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=0.73? (Do not round your answer; compute your answer using a value from the table below.)
| z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
| 0.6 | 0.726 | 0.729 | 0.732 | 0.736 | 0.739 | 0.742 | 0.745 | 0.749 | 0.752 | 0.755 |
| 0.7 | 0.758 | 0.761 | 0.764 | 0.767 | 0.770 | 0.773 | 0.776 | 0.779 | 0.782 | 0.785 |
| 0.8 | 0.788 | 0.791 | 0.794 | 0.797 | 0.800 | 0.802 | 0.805 | 0.808 | 0.811 | 0.813 |
| 0.9 | 0.816 | 0.819 | 0.821 | 0.824 | 0.826 | 0.829 | 0.831 | 0.834 | 0.836 | 0.839 |
Use the curve below to help visualize your answer. Select the appropriate test by dragging the blue point to a right-, left- or two-tailed diagram, then set the test statistic on the x-axis to find the p-value.
Based on the p-value, choose the correct interpretation.
1) The
2) The probability of observing a value of z0=0.73 or less if the null hypothesis is true is 23.3%.
3) The probability of observing a value of z0=−0.73 or less if the null hypothesis is true is $76.7\%$_.
4) The probability of observing a value of z0=0.73 or more if the null hypothesis is true is 99.7%.
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