Question
*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
*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.
Q3) Chi-Square Test for Independence (8 points)
This question is an extension from Q2 above. The high school teacher was also interested in whether there is a gender difference in terms of the student's choice of majors. So he broke the data down by gender in the following table and conducted a Chi-square test for independence with = .05.
Type of Major | Female | Male | Total |
STEM | 8 | 12 | 20 |
Social Sciences | 10 | 10 | 20 |
Liberal Arts | 8 | 2 | 10 |
a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal, or continuous)? (2 points)
b. State the null and alternative hypotheses in words. (1 point total)
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)
PSY230 Fall A 2021
Q4) Chi-Square Test for Independence (8 points)
A market researcher conducted a study to see if different age groups prefer different news sources. He surveyed 80 people in the 25-49 age group and 80 people in the 50+ age group and asked them if they prefer to get their news from TV, online, radio, or printed newspapers. The data are listed in the table below. Conduct a Chi-Square test for Independence with = .01.
News source | Group 18-49 | Group 50+ | Total count |
TV | 20 | 30 | 50 |
Online | 40 | 20 | 60 |
Radio | 15 | 15 | 30 |
Printed papers | 5 | 15 | 20 |
a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal, or continuous)? (2 points)
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)
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