HW 9 - Classical statistical inference

Due Sunday, June 19, 9:00pm on Gradescope

This assignment needs to be completed with RMarkdown and submitted as a PDF on Gradescope. Feel free to re-use the template provided for HW1.

When submitting your work on Gradescope, please assign a page to each question.

You are exceptionally allowed to submit you work until Monday, June 20, 9:00pm without a penalty.

Problem set (34 points)

• 17.10 (2 points)
• 17.12 (2 points) – part a
• 17.14 (1 point)
• 17.20 (1 point)
• 17.22 (3 points)
• 18.14 (2 points)
• 19.14 (5 points)
• 22.8 (3 points)
• 22.10 (3 points)
• 22.14 (2 points)
• 24.6 (2 points) – parts a and b
• 24.14 (4 points) – skip part d
• 25.6 (1 point) – part b
• 26.2 (3 points) – in part b only report the p-value

Hypothesis tests (16 points)

Using variables from the data set your group has chosen for the inference project, briefly describe a question that can be answered using each of the following hypothesis tests

• a HT for one proportion (2 points)
• a HT for two proportions (2 points)
• a HT for 3 or more proportions (2 points)
• a HT for one mean (2 points)
• a HT for two means (2 points)
• a HT for 3 or more means (2 points)
• a HT for a linear regression model (2 points)
• a HT for a logistic regression model (2 points)

Make sure to state the hypotheses. You do not need to implement these tests in R.