SOLUTION: Which of the following statements is FALSE? A. The alternative hypothesis never contains an equality. B. The null hypothesis always contains an equality. C. The hypothese

Algebra ->  Probability-and-statistics -> SOLUTION: Which of the following statements is FALSE? A. The alternative hypothesis never contains an equality. B. The null hypothesis always contains an equality. C. The hypothese      Log On


   

Question 374115: Which of the following statements is FALSE?
A. The alternative hypothesis never contains an equality.
B. The null hypothesis always contains an equality.
C. The hypotheses are statements about a population parameter.
D. The hypotheses are statements about the sample statistic.

Answer by jim_thompson5910(35256) About Me  (Show Source):
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The first three choices are always true (since A implies B). So this leaves choice D as the false statement (since C and D are opposites really). In fact, the hypotheses are statements about parameters (as choice C says) and NOT statistics.


So the answer is D


Note: if the hypotheses were statements about the sample statistic, then why would we need to test at all? We can easily find the sample statistic, so no test is needed.