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A medical researcher wants to examine the relationship of the blood pressure of patients before and after a procedure. She takes a sample of 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 greater than the blood pressure measurements before the procedure. The hypotheses are as follows: Null Hypothesis: μD ≤ 0, Alternative Hypothesis: μD > 0. From her data, the resesarcher calculates a p-value of 0.0162. What is the appropriate conclusion? The difference was calucated as (after - before).
1) The average difference in blood pressure is less than or equal to 0.
2) The average difference in blood pressure is significantly larger than 0.
3) The average difference in blood pressure is significantly different from 0.
4) The average difference in blood pressure is significantly less than 0.
5) We did not find enough evidence to say there was a significantly positive average difference in blood pressure.
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At a 5% level of significance, is there enough evidence from this survey to conclude that more than half of all adults would rather have $100 than a day off?
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