Question

You are hired by ASU dining services to improve the food at the Memorial Union (MU). Your first step is to conduct a study looking at how many students eat at the MU at least once a week. Your boss assumes that 45% of ASU students eat at the MU. But to confirm this, you conduct two surveys, the first one has 30 students and the second has 100 students. The results are given in the tables below. For all questions use $\alpha = 0.05$. Table 1 Small Sample Survey Yes Do you eat at the MU at least once a week? 18 No 12 Table 2 Large Sample Survey Yes Do you eat at the MU at least once a week? 60 No 40 Q1) Using the small sample survey data, is there evidence that the true proportion of ASU students that eat the MU is different than 45%? (Work out this problem and do not erase your work before you answer all the questions) Q2) Using the large sample survey data, is there evidence that the true proportion of ASU students that eat the MU is different than 45%? (Work out this problem and do not erase your work before you answer Q3) Q3) Look at your work for Q1 and Q2. What is the difference? How does this impact the final result? Q4) Using the small sample survey data, is there evidence that the true proportion of ASU students that eat the MU is more than 45%? Q5) Look at your work for Q1 and Q4. What is the difference? How does this impact the final result?

          You are hired by ASU dining services to improve the food at the Memorial Union (MU). Your first step is
to conduct a study looking at how many students eat at the MU at least once a week. Your boss assumes
that 45% of ASU students eat at the MU. But to confirm this, you conduct two surveys, the first one has
30 students and the second has 100 students. The results are given in the tables below. For all questions
use $\alpha = 0.05$.
Table 1 Small Sample Survey
Yes
Do you eat at the MU at least
once a week?
18
No
12
Table 2 Large Sample Survey
Yes
Do you eat at the MU at least
once a week?
60
No
40
Q1) Using the small sample survey data, is there evidence that the true proportion of ASU students that
eat the MU is different than 45%? (Work out this problem and do not erase your work before you
answer all the questions)
Q2) Using the large sample survey data, is there evidence that the true proportion of ASU students that
eat the MU is different than 45%? (Work out this problem and do not erase your work before you
answer Q3)
Q3) Look at your work for Q1 and Q2. What is the difference? How does this impact the final result?
Q4) Using the small sample survey data, is there evidence that the true proportion of ASU students that
eat the MU is more than 45%?
Q5) Look at your work for Q1 and Q4. What is the difference? How does this impact the final result?

You are hired by ASU dining services to improve the food at the Memorial Union (MU). Your first step is
to conduct a study looking at how many students eat at the MU at least once a week. Your boss assumes
that 45% of ASU students eat at the MU. But to confirm this, you conduct two surveys, the first one has
30 students and the second has 100 students. The results are given in the tables below. For all questions
use α = 0.05.
Table 1 Small Sample Survey
Yes
Do you eat at the MU at least
once a week?
18
No
12
Table 2 Large Sample Survey
Yes
Do you eat at the MU at least
once a week?
60
No
40
Q1) Using the small sample survey data, is there evidence that the true proportion of ASU students that
eat the MU is different than 45%? (Work out this problem and do not erase your work before you
answer all the questions)
Q2) Using the large sample survey data, is there evidence that the true proportion of ASU students that
eat the MU is different than 45%? (Work out this problem and do not erase your work before you
answer Q3)
Q3) Look at your work for Q1 and Q2. What is the difference? How does this impact the final result?
Q4) Using the small sample survey data, is there evidence that the true proportion of ASU students that
eat the MU is more than 45%?
Q5) Look at your work for Q1 and Q4. What is the difference? How does this impact the final result?

Added by William N.

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