QUESTION 8: A medical researcher wants to examine the relationship of the blood

Question

QUESTION 8: A medical researcher wants to examine the relationship of the blood pressure of patients before and after a procedure. She takes a sample of 21 people and measures their blood pressure before undergoing the procedure. Afterwards, she takes the same sample of people and measures their blood pressure again. The researcher wants to test if the blood pressure measurements after the procedure are different from the blood pressure measurements before the procedure and, thus, the hypotheses are as follows: Null Hypothesis: ?D = 0, Alternative Hypothesis: ?D ? 0. If the average difference between the before and after blood pressures (calculated as after - before) is 0.86 with a standard deviation of 16, what is the test statistic and p-value?

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QUESTION 9: The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the crimes reported before is different from those reported after and, thus, the hypotheses are as follows: Null Hypothesis: ?D = 0, Alternative Hypothesis: ?D ? 0. You perform a paired sample t-test and see a p-value of 0.7739. What is the appropriate conclusion?

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QUESTION 10:

The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the crimes reported before is less than those reported after and, thus, the hypotheses are as follows: Null Hypothesis: ?D ? 0, Alternative Hypothesis: ?D < 0. You perform a paired sample t-test and see a p-value of 0.3356. What is the appropriate conclusion?

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1)

Test Statistic: 0.246, P-Value: 0.404

2)

Test Statistic: 0.246, P-Value: 1.596

3)

Test Statistic: 0.246, P-Value: 0.596

4)

Test Statistic: -0.246, P-Value: 0.808

5)

Test Statistic: 0.246, P-Value: 0.808

Explanation / Answer

(8) Test statistic=0.246 and p-value=0.808, Hence option(4) is correct.

(9) The average difference in crimes reported is equal to 0.Hence, option(4) is correct.

(10) the average difference in crimes reported is greater than or equal to 0. Hence, option(1) is correct.

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