Question: 1. Perform a hypothesis test at the = 0.05 level testing whether the average cumulative GPA in the upper-level statistics course is greater than 3.0.
1. Perform a hypothesis test at the = 0.05 level testing whether the average cumulative GPA in the upper-level statistics course is greater than 3.0.
(a) List the null and alternative hypotheses
(b) Compute a z or t statistic for this hypothesis test (whichever one
is appropriate)
(c) Compute the p-value
(d) What do you conclude from your hypothesis test? Is the average GPA in the class greater than 3.0?
(e) Define what a p-value is in two sentences or less.
2. Perform a hypothesis test at the = 0.05 level testing whether fewer than half
of the students earned semester honors the previous semester.
(a) Compute the proportion of students that received semester hon- ors last semester. (The functions = COUNTIF() in Excel and which() in R may be helpful).
(b) List the null and alternative hypotheses
(c) Compute a z or t statistic for this hypothesis test (whichever one
is appropriate)
(d) Compute the p-value
(e) What do you conclude from your hypothesis test? Did fewer than half of the students in the course receive semester honors?
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