Monday, December 12, 2011

Simple statistics question on alternative hypothesis?

A dose of the drug Captopril, designed to LOWER systolic blood pressure, is administered to 10 randomly selected volunteers, and the SBP is measured before and after the pill.





渭B = mean SBP before pill


渭A = after pill





What is the alternative hypothesis?


A. H1: 渭B = 渭A


B. H1: 渭B 鈮?渭A


C. H1: 渭B 鈮?渭A


D. H1: 渭B %26gt; 渭A





thanks in advance to whoever helps out..|||The answer is D. Since the pill is designed to lower the SBP, we want to know if mean SBP is lower after the pill.





What about the other answers? Answer A is not correct, because the equality is the *null* hypothesis. B is incorrect, because it is the alternative hypothesis for a *two-tailed test*. If we just wanted to know if the pill *changed* SBP, without specifying whether the change is up or down, then B would be correct. Because C has a weak inequality (greater than or equal sign), it is neither a null hypothesis nor an alternative hypothesis.





Hope this helps.|||D.

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