Question

# A researcher computes a 2 x 3 chi-square test for independence. What is the critical value...

A researcher computes a 2 x 3 chi-square test for independence. What is the critical value for this test at a.05 level of significance?

Please let me know in case you've doubts. Here' the answe below.

Lets solve this in 2 ways.

First by using the Chi-Square cumulative distribution table.

1.

The cumulative area is 0.95 ( 1-.05 = .95)

The Chi-Square can be got from the ChiSquare table. Open it look for df = (k1-1)*(k2-1), i.e. (2-1)*(3-1) = 1*3 = 3

cumualtive probability = .95.

So, look for df = 3 ( df1 = 1, df2 = 2), with probability = 0.95

It is Chi-Square is  7.8147

The critical value of 7.8147

2.

The cumulative area is 0.95 ( 1-.05 = .95)

The Chi-Square = CHISQ.INV(0.95, 3)

X^2 = 7.8147

The critical value of 7.8147

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Perform a chi-square independence test using the critical value approach, provided the conditions for using the... Perform a chi-square independence test using the critical value approach, provided the conditions for using the test are met. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the critical value, to compute the value of the test statistic, and to state your conclusion. 160 students who were majoring in either math or English were asked a test question, and the researcher recorded whether they answered the question correctly. The sample results...

• ### this is the table given Perform a chi-square independence test using the critical value approach, provided... this is the table given Perform a chi-square independence test using the critical value approach, provided the conditions for using the test are met. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the critical value, to compute the value of the test statistic, and to state your conclusion. 160 students who were majoring in either math or English were asked a test question, and the researcher recorded whether they answered the...

• ### To perform a chi-square test of independence for this contingency table at the 196 significance level, what is the critical value of chisquare?

You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.GenderOn TimeLateFemale359Male4313To perform a chi-square test of independence for this contingency table at the 196 significance level, what is the critical value of chisquare?7.8796.63510.5979.210

• ### What is the critical value for a chi-square test with 28 degrees of freedom at the...

What is the critical value for a chi-square test with 28 degrees of freedom at the 5 percent level of significance (3 pts)? If the chi-square test statistic were 41.10, what would you conclude regarding the null hypothesis (4 pts)? What would you conclude if the chi-square value were 48.19

• ### QUESTION 16 A researcher is using a chi-square test for independence to evaluate the relationship between... QUESTION 16 A researcher is using a chi-square test for independence to evaluate the relationship between birth-order position and self-esteem. Each individual is classified as being 1 st born, 2nd bom, or 3rd bom, and self- esteem is categorized as either high or low. For this study, what is the df value for the chi-square statistic? a. 3 b. 1 C. 2 O d. 4

• ### The Chi-Square Table (Chapter 17) The chi-square table: The degrees of freedom for a given test...

The Chi-Square Table (Chapter 17) The chi-square table: The degrees of freedom for a given test are listed in the column to the far left; the level of significance is listed in the top row to the right. These are the only two values you need to find the critical values for a chi-square test. Increasing k and a in the chi-square table Record the critical values for a chi-square test, given the following values for k at each level...

• ### -Which assumption can be violated when conducting a chi-square test of independence, yet still allow the...

-Which assumption can be violated when conducting a chi-square test of independence, yet still allow the chi-square value to be calculated? homogeneity of variances expected frequencies random samples independence of observations - If R = 3, C = 3, and alpha is set at .05, what would the critical value be for a chi-square test of independence? 12.592 9.488 7.815 16.919 -Under what condition is the interpretation of Pearson's r and Cramer's V the same? when a chi-square analysis is...

• ### A researcher computes a one-way within-subjects ANOVA in which k = 3 and n = 10....

A researcher computes a one-way within-subjects ANOVA in which k = 3 and n = 10. What is the critical value for this test at a .05 level of significance? a. 3.16 b. 4.41 c. 3.55 d. 5.48

• ### What is the critical value of chi-square? The table below lists the number of crimes reported at a police station on each day of the week for the past three months. Day of the Week Monday Tuesday Wednesday Thursday Friday Saturday Sunday Number of Crimes 21 10 13 16 25 29 26 The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week The significance level is 10 %. What is the critical...

• ### A chi-square test for independence is appropriate with

A chi-square test for independence is appropriate with 1 measurement variable 2 measurement variables 1 categorical variable 2 categorical variables