Chi-Square Questions - Solve & Learn

Why would we want to use a Chi Squared Test for this study? What are the best ways to describe the data graphically and numerically?
An investigation of the association between drink preferences and the color of teeth is proposed. Subjects will be surveyed as to the type of drink most often consumed (coffee/tea. Juice, caramel-colored soda, water, or milk). A clinical exam will be performed after dental cleaning to determine the color of the teeth (reddish brown, reddish yellow, gray, reddish gray).

adoliremdhp 2022-03-07

You are conducting a multinomial hypothesis test ( $α = 0.05$ ) for the claim that all 5 categories are equally likely to be selected.
$\begin{array}{cc} Category & Observed Frequency \\ A & 25 \\ B & 13 \\ C & 21 \\ D & 8 \\ E & 9 \end{array}$
What is the chi-square test-statistic for this data?
$χ^{2} =$

Noelle King 2022-03-07

You intend to conduct a test of homogeneity for a contingency table with 8 categories in the column variable and 2 categories in the row variable. You collect data from 352 subjects.
What are the degrees of freedom for the $χ^{2}$ distribution for this test?

Juliet Jackson 2022-03-07

You obtain a sample chi-square value of $χ^{2} = - 5.49$ . On the basis of this value, you know that
a. there is a negative association between your two variables.
b. the observed frequencies are higher than the expected frequencies across at least half of your cells.
c. you have made a calculation error; chi-square values cannot be negative.
d. the observed frequencies are lower than the expected frequencies across all cells.

Juliet Jackson 2022-03-06

You are conducting a test of independence for the claim that there is an association between the row variable and the column variable.
$\begin{array}{cccc} X & Y & Z \\ A & 35 & 29 & 6 \\ B & 53 & 38 & 5 \end{array}$
The expected observations for this table would be
$\begin{array}{cccc} X & Y & Z \\ A \\ B \end{array}$
What is the chi-square test-statistic for this data? (2 decimals) $χ^{2} = ◻$
Report all answers accurate to two decimal places.

Dawson Riggs 2022-03-06

You are conducting a test of independence for the daim that there is an association between morning beverage and age.
$\begin{array}{cc} Juice & Coffee & Pop & Tea \\ less that 25 & 19 & 18 & 5 & 32 \\ 25 or older & 27 & 30 & 2 & 43 \end{array}$
What is the chi-square test-statistic and the corresponding p-value for this data?
$χ^{2} = ?$ , [three decimal accuracy]
p-value=?, [three decimal accuracy]

Jerimiah Hansen 2022-03-06

Your state is going to vote on becoming a "right to work" state in the next, and you wonder if there is there a relationship between salary levels and unionization. You find data on salary from the U.S. Census, which is split into three groups: Low; Moderate/About Average, and; High. To see if salary, measured in this way, is associated with unionization you find a variable in the same dataset called "UNION", which has two categories: the respondent has a unionized job and the respondent does not have a unionized job. Because you want to know if you should favor or oppose becoming a "right to work" state, you test these two variables to see if there is an association between salary level and unionized labor.
What type of hypothesis test is most appropriate?

Layla-Rose Ellison 2022-03-04

A manager wants to see if geographical region (Cape Town, Durban and Gauteng) is related with ownership of a tablet (“Have a tablet” and “No tablet”).
If the Chi-square test statistics = 0.412, what conclusion is most appropriate?
A. Since Chi-square test statistics > Chi-square critical value, do not reject H0
B. Since Chi-square test statistics < Chi-square critical value, do not reject $H_{0}$ C. Since Chi-square test statistics > Chi-square critical value, Reject H0 D. Since Chi-square test statistics < Chi-square critical value, Reject H0

Layla-Rose Ellison 2022-03-04

A psychological study wants to analyze the relationship between anxiety and binge drinking; a questionnaire for anxiety and questionnaire for binge drinking is administered to each subject. What would be a good statistical test to test the hypothesis?

cooopt392a0i 2022-03-04

A mental health treatment center wanted to compare group therapy vs. individual therapy. They are interested in the relationship between treatment type (group, individual) and treatment completion (yes/no). What type of statistical test should be used?

Harken43 2022-03-04

A study done by Dr. S. Friedler, a trained mime and a physician, found evidence that being entertained by live clowns immediately after in-vitro fertilization (IVF) may increase conception rates (Friedler et al, 2011) DOI: 10.1016. Yes, this real study was about whether watching 15 minutes of ‘medical clowning’ after an embryo transfer or IVF would affect the chance of a successful pregnancy. The 186 women in the study were randomly assigned to either clown or no clown condition. Please use these data to test whether pregnancy rates were independent of being entertained by a clown after IVF. Show your work and include each step in the hypothesis testing process.
$\begin{array}{cc} Observed data: & Pregnant & Not Pregnant \\ Clown & 33 & 60 \\ No Clown & 18 & 75 \end{array}$
a. State the null and alt hypotheses.
b. Find df and critical value for the chi-square test.
c. Calculate the expected frequencies and the chi-square test value. Is it significant?
d. Write an APA conclusion based on the results of the test.

Corbin Walton 2022-03-04

A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 2 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic?
a. df = 2
b. df = 6
c. df = 7
d. df = 3

Milla Werner 2022-03-04

A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table.
$\begin{array}{cc} Red & Green & Blue & Yellow & Orange \\ 17 & 24 & 20 & 25 & 14 \end{array}$
Which color contributes most to the chi-square test statistic?
a. Red
b. Green
c. Blue
d. Yellow
e. Orange

embeucadaoo8 2022-03-04

750 units of product are produced in 3 different production lines. It is desired to investigate whether there is a difference between the production lines at the 95% confidence level. Find the chi-square calculation value.
a. 514
b. 20
c. 45
d. 34
$\begin{array}{cc} Production line & Observed & Expected \\ A & 250 & 250 \\ B & 200 & 250 \\ C & 300^{2} 50 \\ Total & 750 & 750 \end{array}$

Adrienne Rowe 2022-03-04

$\begin{matrix} Children at home? \\ Observed & \begin{array}{ccc} College Major & Yes & No & Totals \\ Applied Behavioral Science & 30 & 10 & 40 \\ Criminal Justice & 10 & 7 & 17 \\ Political Science & 10 & 10 & 20 \\ Psychology & 32 & 11 & 43 \\ Totals & 82 & 38 & 129 \\ χ^{2} = 5.37 \end{array} \end{matrix}$
1. How many variables are involved in this chi-square test?
2. Which type of chi-square test is this? Goodness of Fit or Test of Independence
3. How many degrees of freedom are involved?
4. Using the chi-square critical values table, is the result of this test statistically significant? Yes or No

haugmbd 2022-03-04

$\begin{array}{cc} Subgroup of Participants & Supine SBP Mean (SD) & Standing SBP Mean (SD) & Percent with > 5.0 Decrease & Percent with > 5.0 Increase \\ White women (N = 301) & 120.4 (18.4) & 120.0 (18.8) & 32.6 % & 32.2 % \\ African-American women (N = 107) & 122.7 (19.3) & 122.8 (19.4) & 30.2 % 31.9 % \\ White men (N = 339) & 121.2 (18.9) & 120.2 (19.9) & 39.5 % & 25.6 % \\ African-American men (N = 95) & 124.7 (20.4) & 125.9 (21.6) & 13.7 % & 51.3 % \\ Total (N = 842) & 121.5 (19.0) & 121.1 (19.5) & 29.8 % \end{array}$
Would it be possible to analyze data in table 2 with a chi-square test? if yes, specify how

Coby Allison 2022-03-04

$\begin{matrix} Brand of Smartphone & Male \\ A & 43 \\ B & 34 \\ C & 48 \end{matrix}$
A. What is the value for the degrees of freedom?
B. If the expected number of males with smartphone brand B is 32.5, what is the chi-square component?
C. If the test statistic (chi-square) = 6.40, then the p-value =
D. If the significance level was 0.05, should the researcher reject or fail to reject the null?

Ingrid Senior 2022-03-03

200 males and 200 females are asked a series of questions to determine whether they are considered heavy drinkers or not. 66 of the males are considered heavy drinkers. 83 of the females are classified as heavy drinkers. Execute a hypothesis test as to whether there is a relationship between gender and drinking at alpha=0.05 USING CHI-SQUARE. State Ho and Ha, calculate the p-value, determine whether you reject Ho and state the conclusion in plain English.

cooopt392a0i 2022-03-03

1. The number of degrees of freedom in a chi-square test refers to the number of values free to vary once some information about all of the values is already known.
True or False?
2. Chi-square analysis can be used in examining whether a sample could have come from a
True or False?
3. In using chi-square for testing the independence of variables, the table of observed frequencies is constructed under the assumption that the null hypothesis is true.
True or False?

Jasper Carlson 2022-03-03

1. The chi-square test tells us:
a. Whether there is a relationship or association
b. Effect size (how small or large the association is)
c. Both a and b
d. None of the above
2. The chi-square test requires that the
a. Frequencies represent independent counts (not ranks or percentages)
b. Categories are mutually exclusive and exhaustive, i.e., that is every subject can be assigned to only one appropriate category
c. Data are independent, i.e., repeated measures are not allowed
d. All of the above
3. The following is true about the chi-square test:
a. It compares observed frequencies with the expected frequencies
b. Greater the difference between the observed and the expected frequencies, greater the value of calculated chi-square
c. Degrees of freedom = (rows-) x (columns-1)
d. All of the above

You will find numerous Chi Square questions below that will help you come up with answers to your problems related to college statistics. For some reason, Chi Square test questions with solutions are not widely distributed online, which is why we came up with a list of solutions that you will enjoy as a learner. Take time to explore the variations of Chi-Square questions to keep things original and avoid plagiarism in case you need to include explantations. Seeking answers to your Chi Square test questions, read your instructions carefully and see how these have been approached by fellow students.

Chi-Square Test Questions: Expert Solutions