*Unlike prior assignments, you will NOT be submitting a Word document and Excel file. Instead, you will need to work through this assignment and provide your answers in the M7 Assignment (Special Quiz Format) quiz.

I recommend filling out your answers on this sheet before taking the quiz and keeping it on hand for reference. You will have 2 attempts at the quiz, so if you get marked incorrect on an answer, you can go back through your work and try to correct any errors before taking the quiz the second time.

Assignment Direction:

Complete the Guided Practice Problem first, if you have not done so. It will help you become proficient in answering the questions in this assignment.

Q1) Chi-Square Test for Goodness of Fit (7 points)

Two employees at an ice cream store were discussing the popularity of four of the ice cream flavors they have: Vanilla, Chocolate, Mint, and Strawberry. Employee A thought that the four flavors are equally popular, but employee B didn't think so. To settle their debate, they decided to tally the number of customers asking for those flavors for a whole day.

There were 40 customers that day:

5 asked for vanilla

15 asked for chocolate

14 asked for Mint

6 asked for strawberry

Conduct a Chi-Square Test for Goodness of Fit to answer the research question of whether the four flavors are equally popular, using = .05 as the significance level.

a. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (1 point)

b. State the null and alternative hypotheses in words. (1 point)

c. Calculate X² statistic. (2 points)

d. Calculate the degree of freedom and then identify the critical value. (1 point)

e. Compare the X² statistic with the critical value, then report the hypothesis test result, using "reject" or "fail to reject" the null hypothesis in the answer. (1 point)

f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)

Q2) Chi-Square Test for Goodness of Fit (7 points)

A high school physics teacher wondered if his students in the senior class this year will be more likely to go into STEM (Science, Technology, Engineering, Mathematics) majors than Social Science and Liberal Arts majors. He asked each of his 50 students about their first choice for major on their college applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the number of students choosing each category differs significantly.

PSY230 Fall A 2021

20 - STEM

20 - Social Sciences

10 - Liberal Arts

a. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (1 point)

b. State the null and alternative hypotheses in words. (1 point)

c. Calculate X² statistic. (2 points)

d. Calculate the degree of freedom and then identify the critical value. (1 point)

e. Compare the X² statistic with the critical value, then report the hypothesis test result, using "reject" or "fail to reject" the null hypothesis in the answer. (1 point)

f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)