Please help me with the assignment below!!!

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 44 customers that day:

• 5 asked for vanilla
• 15 asked for chocolate
• 14 asked for Mint
• 10 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, usinga = .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 X²statistic. (2 points)

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

e. Compare the X²statistic 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 72 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.

• 20 - STEM
• 18 - Social Sciences
• 34 - 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 X²statistic. (2 points)

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

e. Compare the X²statistic 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)

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 down the data for his first period class with 50 students by gender in the following table and conducted a Chi-square test for independence witha = .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)

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)