1) For each research question below, do the following: 1. Use proper notation to write the null and alternative hypotheses for the hypothesis test that answer the research question. 2. Use proper notation to give the relevant sample statistic that would be used as evidence in the hypothesis test.
(a) Do the majority of 6th grade students own a smart phone?
(b) Do English majors own more books, on average, than math majors?
(c) Is there a negative linear relationship between Exam Scores and the number of absences a student has?
1d)
Suppose we were testing H0 : µ = 10 vs. Ha : µ 6= 10. Using proper notation, give two statistics that would give equally convincing evidence against H0. Explain why they are equally convincing.
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