Question
What is the proportion of female students spending at least $100 on books compared tot he proportion of male students? Female: 22 Yes. 31 No
What is the proportion of female students spending at least $100 on books compared tot he proportion of male students?
Female: 22 Yes. 31 No
Male: 16 Yes. 19No
A. (7pt) Decide on a claim to test, meaning construct Ho and HA. Also, explain in words the meaning of your population parameters.
B. (3pt) Is your test a left tail, right tail, or 2 tail test? Why did you decide on this (Note: Many times, this will be up to you as a statistician & what you believe are the appropriate inequalities to use.)
C. (2pt) What is the value of your significance level? You can choose your own.
D. (8pt) Use your graphing calculator to calculate the test statistic & p-value. State which calculator command you used and explain why.
D. (6pt) Sketch a graph of the region whose area the p-value represents. Label the values of the horizontal axis with the appropriate values.
F. (3pt) Define the p-value in the context of the problem. G. (4pt) Do you reject or fail to reject the null hypothesis? Why or why not?
- Histogram
H. (7pt) Construct a histogram. You can do this by hand (please use a ruler) or on a computer.
I. (1pt) What does the horizontal axis represent? What does the vertical axis represent?
J. (1pt) What is the width of each bar?
K. (6pt) Construct a box plot. You can do this by hand (please use a ruler) or on a computer.
L. (4pt) What are the 5 key values AND what do these values represent?
M. (3pt) What is the IQR?
N. (3pt) What is the range?
O. (4pt) Are there any outliers? If so, how many? Explain why or why not using the appropriate calculations.
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