Chi-Square Questions - Solve & Learn

Determine the values of the following quantities. (Round your answers to two decimal places.)
(a) $χ_{{0.1, 10}}^{2}$
(b) $χ_{{0.1, 20}}^{2}$
(c) $χ_{{0.025, 20}}^{2}$

Pablo Dennis 2022-03-26

David, a first year college student, is currently completing his statistics assignment but he is not understanding the notes about chi-square distribution.
c. Explain the following steps involved in a chi-square test of independence:
i) Identify the claim then state the null and alternative hypotheses (HoandHa) for this test.
ii) Select the level of significance.
iii) Calculate the test statistic.
iv) Formulate the Decision Rule and Make a Decision.
v) Interpret your decision in terms of the claim.

amonitas3zeb 2022-03-24

Let $p_{1}$ = population proportion for population 1, $p_{2}$ = population proportion for population 2, ... and $p_{k}$ = population proportion for population k. Consider the following null hypothesis: $H_{0}$ : $p_{1}$ = $p_{2}$ =...= $p_{k}$ . Which of the following statements is correct?
a. The alternative hypothesis to the null hypothesis stated above must be: $H_{α}$ : Not all population proportions are equal.
b. If the sample data and the chi-square test computations indicate $H_{0}$ cannot be rejected, we cannot detect a difference among the k population proportions.
c. If the sample data and the chi-square test computations indicate $H_{0}$ can be rejected, we have the statistical evidence to conclude that one or more population proportions differ from the other population proportions.
d. All of the above.

Juliet Jackson 2022-03-19

Choose the appropriate test for the following situation: You wish to test whether an association exists between the type of vehicle purchased and how many children the buyer has.
a) Chi-square test
b) One-sample t-test
c) Two-sample t-test
d) ANOVA

Carmen Bowers 2022-03-19

Calculate the test statistic $χ^{2}$ and state your decision regarding the null hypothesis. 23.
It has been rumored that the color distribution of M&M's is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You suspect this rumor is incorrect and decide to count how many of each color are contained in a randomly chosen bag in order to perform a Chi-Square goodness-of-fit test at a 5% significance level.
$\begin{array}{cc} Color \\ Brown & Yellow & Red & Orange & Blue & Green & Total \\ Observed & 27 & 16 & 21 & 12 & 9 & 15 & 100 \end{array}$
Provided the assumptions of the test are satisfied, calculate the test statistic $χ^{2}$ :
a. 4.15, Reject $H_{0}$
b. 4.15, Fail to Reject $H_{0}$
c. 16.83, Reject $H_{0}$
d. 16.83, Fail to Reject $H_{0}$

Jaylan Chung 2022-03-19

Based on a survey of a random sample of 900 adults in the United States, a journalist reports that A random sample of 100 movie goers was asked to state his or her gender and favorite soft drink available at the local movie theater. The results appear in the table below. Is there a relationship between gender and soft drink preference?
$\begin{array}{cccc} Coke & Diet Coke & Sprite \\ Male & 23 & 11 & 12 \\ Female & 16 & 28 & 10 \end{array}$
To analyze the results, which of the following tests is most appropriate?
A)Chi-square test of independence
B)Chi-square test of homogeneity
C)Two sample t-test
D)Matched pair t-test
E)Chi-square goodness of fit

nevinijifg8 2022-03-18

A study was recently conducted in which people were asked to indicate which news medium was their preferred choice for national news. The following data were observed:
$\begin{array}{cc} radio & television & newspaper \\ under 21 & 30 & 50 & 5 \\ 21-40 & 20 & 25 & 30 \\ 41 and over & 30 & 30 & 50 \end{array}$
Given this data, if we wish to test whether the preferred news source is independent of age, for an alpha = .05 level, the critical value from the chi-square table is based on 8 degrees of freedom.
Seleccione una:
a. Verdadero
b. Falso

Carmen Bowers 2022-03-18

A survey was conducted to investigate the relationship between gender (male and females) and sector of employment (private, government and academia). Using the information provided, does a relationship exist between gender and employment sector at the 5% significance level? If the Chi-square test statistics = 0.529, what conclusion can be made?
A. Since Chi-square test statistics > Chi-square critical value, do not reject $H_{0}$
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 $H_{0}$
D. Since Chi-square test statistics > Chi-square critical value, Reject $H_{0}$

evighetl2b 2022-03-18

A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference.
A. A two-sample z-test for a difference between proportions
B. A chi-square test of homogeneity
C. A chi-square test of independence
D. A chi-square goodness-of-fit test

Lisa Vaughan 2022-03-18

A study compared men who viewed high levels of television violence as children with those who did not in order to study the differences with regard to physical abuse of their partners as adults. Test to see if watching TV violence has something to do with physical abuse of their partners as adults.
$\begin{array}{ccc} Category & High TV Violence & Low TV Violence \\ Yes, Physical Abuse & 15 & 29 \\ Yes, Physical Abuse & 17 & 94 \end{array}$
What is the name of this hypothesis test?
1. One Sample z Test
2. Chi-Square Test for Independence
3. Two Proportion z Test
4. Chi-Square Goodness of Fit Test
5. Linear Regression t Test
6. Two Independent Samples t Test
7. Paired Samplest t Test
8. One Sample t Test
9. Two Proportion z Test
10. ANOVA F Test
11. One Proportion z Test
There are two variables of this study. What are they?
1. Yes Physical Abuse and No Physical Abuse
2. Violence and Abuse
3. High TV Violence and Low TV Violence

meiprate81w 2022-03-18

A state is considering legislation to establisha law to help homeless individuals. A sample of 309 individuals regarding their opinions on the potential new law. Is there a relationship between sex and support for this law? Calculate the expected frequencies and compute a chi-square test for a statistically significant relationship between sex and support for the new law. Be sure to round to the second decimal.
$\begin{matrix} Sex \\ Support & \begin{array}{ccc} Male & Female \\ For & 98 & 101 \\ Against & 29 & 81 \end{array} \end{matrix}$

Damaris Huffman 2022-03-18

A researcher wanted to test whether there is a relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults). To test that, subjects from the three age groups were asked which of the three sweets they preferred. Which statistical test should be used to analyze the data?
1. chi square test of independece
2. chi square test for goodness of fit
3. one sample t test
4. one way anova test

chechemua62l 2022-03-18

Chi-square test of independence is usually used to determine:
a. whether one nominal/ordinal variable is mutually exclusive with the other numerical variable
b. whether a single nominal/ordinal indpendent variable predicts a single numerical dependent variable
c. whether a single numerical independent variable predicts a single numerical dependent variable
d. whether one nominal/ordinal variable is contingent upon the other nominal/ordinal variable

Shyla Singleton 2022-03-18

Chi-square value can never be negative because
a. The observed frequencies cannot be negative
b. Difference between observed & expected frequencies is squared
c. The sum of the difference is computed
d. Observed frequency is always greater than expected frequency

Juliet Jackson 2022-03-17

A study of alcoholism wanted to investigate whether drinking habits differ between alcoholic men and women. A random sample of 34 men and 18 women had to answer the question of what type of alcohol they mainly consume. Results:
$\begin{array}{cc} Gender & beer & wine \\ men & 15 & 19 \\ women & 4 & 14 \end{array}$
a) Which test would be appropriate to examine whether there is a difference in behavior between men and women?
b) What statistical property examines such a test?
c) Does the data indicate that there is a difference? If so, which one?

Avery Velasquez 2022-03-17

A simple random sample of pulse rates of 25 women from a normally distributed population results in a standard deviation of 12.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pullse rates of women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses. Choose the correct answer below.
A. $H_{0} : σ \neq 10$ beats per minute, $H_{1} : σ = 10$ beats per minute
B. $H_{0} : σ = 10$ beats per minute, $H_{1} : σ \neq 10$ beats per minuteSNKC. $H_{0} : σ = 10$ beats per minute, $H_{1} : σ < 10$ beats per minute
D. $H_{0} : σ \geq 10$ beats per minute, $H_{1} : σ < 10$ beats per minute
b. Compute the test statistic.
$χ^{2} = □$
(Round to three decimal places as needed.)
c. Find the P-value of the test statistic.
The P-value of the test statistic is $□$
(Round to three decimal places as needed.)
d. State the conclusion.
'Reject'/'Fail to reject' $H_{0}$ 'is'/'is not' sufficiert evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.

izolovanuyj5 2022-03-17

A simple random sample of 1,000 United States adults was collected to investigate whether gender and being a coffee drinker are independent. The results are summarized in the table with the expected counts shown in parentheses.
$\begin{matrix} Coffe Drinker? \\ Gender & \begin{array}{ccc} Yes & No & Total \\ Male & 191 (148.5) & 299 (341.5) & 490 \\ Female & 112 (154.5) & 398 (355.5) & 510 \\ Total & 303 & 697 & 1, 000 \end{array} \end{matrix}$
Which statement is true about whether the conditions for the chi-square test for independence have been met?
a. All necessary conditions are satisfied to apply a chi-square test for independence between gender and being a coffee drinker.
b. The data is not the result of two independent random samples; therefore, the conditions for applying the chi-square test for independence between gender and being a coffee drinker are not met.
c. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for independence between gender and being a coffee drinker.
d. Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test for independence between gender and being a coffee drinker.
e. The total sample size is not at least 10 percent of the population of United States adults; therefore, the conditions for applying the chi-square test for independence between gender and being a coffee drinker are not met.

Abbie Edwards 2022-03-17

A seafood festival organizer is interested in whether there is a relationship between the number of ingredients in the clam chowders that are entered in the festival’s clam chowder contest and the ratings given to the chowders by the judges. The organizer requires each of the twelve restaurants in the competition to list all of its chowder's ingredients and requires each judge who tastes the clam chowders to rate each chowder from one through ten on a note card. The organizer then randomly selects twenty-five note cards. Assuming that all conditions for inference are met, which of the following significance tests should be used to investigate whether having more ingredients in the chowders is associated with a reduction in the ratings given to the chowders by the judges?
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference

gnjurcemnpw 2022-03-17

A researcher surveys a random sample of 750 college students about their political views. The researcher’s survey contains questions about the following variables:
1. Age
2. Political Affiliation (Democrat / Republican / Other)
3. Annual income
4. Number of hours worked per week
5. Residential status (on-campus / off-campus)
The researcher will conduct a chi-square test of independence. Which pair of variables can the researcher use?
Group of answer choices
age and annual income
annual income and number of hours worked per week
residential status and number of hours worked per week
political affiliation and residential status

riosonicocyo 2022-03-17

A researcher wants to see if four different strategies to combat work fatigue are independent of the gender of the person using them. She draws a sample of 200 office workers, half of them women and half men, and obtains data on which strategy the participants use to combat fatigue at work. The four strategies are: Consumption of caffeine, taking a short “power” nap, exercise, and consumption of sugar. Is the preference for a particular method of combating drowsiness independent of gender?
what statistical test should be used and why?

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