MATH 240 ASSIGNMENT – Class Survey

MATH 240 ASSIGNMENT – Class Survey

Subject: Mathematics    / Algebra
Question
Use the dataset in the “Class Survey” Excel file, which contains an in-class survey of introductory statistics students. Detailed variable definitions and question wording are included in the file. Answer the following questions, at the 0.1 level of significance.

Create a 99% confidence interval for the proportion of statistics students who like cats, and interpret the interval.
Do an appropriate analysis at the 0.1 level of significance to see whether “liking cats” is a different proportion for males vs. females.
Create a 90% confidence interval for thedifference in proportionbetween males and females that like cats. Interpret it.
Compare your answers to (e) and (f) and explain the connection between the two. (Hint: you need to be mentioning whether 0 is in the interval).
Create a 95% confidence interval for the GPA of statistics students and interpret the interval.
Perform an appropriate analysis (F test) to see if there is a difference in variability in GPA for males vs. females at the 0.1 level of significance.
Perform an appropriate analysis with an appropriate t test to see if there a difference in GPA for males vs. females, at the 0.1 level of significance. (Hint: Use the results of the F test to know which t test to use).
Come up with and perform your own hypothesis test on the data. Please make your write up as formal and clear as possible.