The categories of a categorical variable are given along with the observed counts from a sample....
The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the χ2-test statistic, and use the χ2-distribution to find the p-value of the test.
| Category | A | B | C | D |
|
Observed |
36(30) | 54(60) | 79(90) | 131(120) |
Round your answer for the chi-square statistic to two decimal
places, and your answer for the p-value to four decimal
places.
chi-square statistic = ______________________________
p-value = ___________________________
Homework Answers
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The categories of a categorical variable are given along with
the observed counts from a sample....
PRI NIER VERSION BACK NEXI Chapter 7, Section 1, Exercise 006 The categories of a categorical...
PRI NIER VERSION BACK NEXI Chapter 7, Section 1, Exercise 006 The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the x-test statistic, and use the x-distribution to find the p-value of the test. Category Observed 59 (50) 31 (50) 60 (50) Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four...
Suppose that a response can fall into one of k = 5 categories with probabilities p1,...
Suppose that a response can fall into one of k = 5 categories with probabilities p1, p2, , p5 and that n = 300 responses produced these category counts. Category 1 2 3 4 5 Observed Count 48 63 73 49 67 (a) If you were to test this hypothesis using the chi-square statistic, how many degrees of freedom would the test have? degrees of freedom (b) Find the critical value of χ2 that defines the rejection region with α =...
You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories...
You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places. Category Observed Frequency Expected Frequency (obs-exp)^2/exp A 21 B 6 C 11 D 8 E 7 What is the chi-square test-statistic for this data? χ2= At the alpha = 0.05 level, what is the conclusion for this test? Fail to reject the null hypothesis Reject the null...
1. Use the data in the contingency table to answer the question. Columns Rows 1 2...
1. Use the data in the contingency table to answer the question. Columns Rows 1 2 3 Total 1 36 35 92 163 2 67 57 113 237 Total 103 92 205 400 You wish to test the null hypothesis of "independence"—that the probability that a response falls in any one row is independent of the column it falls in—and you plan to use a chi-square test. You are given that there are 2 degrees of freedom associated with the...
The table to the right contains observed values and expected values in parentheses for two categorical...
The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Y1 X1 X3 32 45 49 (32.72) (47.34) (45.94) 15 23 17 (14.28) 20.66) (20.06) Y2 (a) Compute the value of the chi-square test statistic. x=(Round to three decimal places as needed.) (b) Test the hypothesis that X...
The table to the right contairs observed values and expected values in parentheses for two categorical...
The table to the right contairs observed values and expected values in parentheses for two categorical variables, X and Y where variable: X has the categories and variable: Y hasta categories. Use the table to complete aarts(a) and (b) helow. 23.05 (42313 45.643 16 1916 114.15 (17.6939.16 2 (a) Compute the value of the chi-square test statistic. Round to three decimal places needed. (b) Test the hypothesis that X and Y are Independent at the a=0.1 level of algnilcance. O...
The table contains observed values and expected values in parentheses for two categorical variables, X and...
The
table contains observed values and expected values in parentheses
for two categorical variables, X and Y, where variable X has three
categories and variable Y has two categories use the table to
complete parts (a) and (b)
(B) What is the P-Value?
ree 34 45 52 34.89) 46.99)K49.13) 15 21 17 14.11) 19.01) 19.88) 2 ах (a) Compute the value of the chi-square test statistic. Round to three decimal places as needed.) Enter your answer in the answer box...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.3pA=0.3; pB=0.2pB=0.2; pC=0.2pC=0.2; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 28 B 15 C 40 D 32 What is the chi-square test-statistic for this data? χ2=χ2= What is the P-Value? P-Value = For significance level alpha 0.005, What would be the conclusion of this hypothesis test? Fail to...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=.2pA=.2; pB=.2pB=.2; pC=.3pC=.3; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 19 B 30 C 30 D 32 What is the chi-square test-statistic for this data? χ2=χ2= What is the P-Value? P-Value = For significance level alpha 0.01, What would be the conclusion of this hypothesis test? Reject the...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.4pA=0.4; pB=0.1pB=0.1; pC=0.2pC=0.2; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency Residual A 50 B 10 C 16 D 33 What is the chi-square test-statistic for this data? χ2=χ2= For significance level alpha 0.1, what is the chi-square Critical Value? Critical Value = What would be the conclusion of this...
PRI NIER VERSION BACK NEXI Chapter 7, Section 1, Exercise 006 The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the x-test statistic, and use the x-distribution to find the p-value of the test. Category Observed 59 (50) 31 (50) 60 (50) Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four...
The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Y1 X1 X3 32 45 49 (32.72) (47.34) (45.94) 15 23 17 (14.28) 20.66) (20.06) Y2 (a) Compute the value of the chi-square test statistic. x=(Round to three decimal places as needed.) (b) Test the hypothesis that X...
The table to the right contairs observed values and expected values in parentheses for two categorical variables, X and Y where variable: X has the categories and variable: Y hasta categories. Use the table to complete aarts(a) and (b) helow. 23.05 (42313 45.643 16 1916 114.15 (17.6939.16 2 (a) Compute the value of the chi-square test statistic. Round to three decimal places needed. (b) Test the hypothesis that X and Y are Independent at the a=0.1 level of algnilcance. O...
The
table contains observed values and expected values in parentheses
for two categorical variables, X and Y, where variable X has three
categories and variable Y has two categories use the table to
complete parts (a) and (b)
(B) What is the P-Value?
ree 34 45 52 34.89) 46.99)K49.13) 15 21 17 14.11) 19.01) 19.88) 2 ах (a) Compute the value of the chi-square test statistic. Round to three decimal places as needed.) Enter your answer in the answer box...
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