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5.( You recorded the number of cracked tiles at 4 different building sites after construction. Your null hypothesis is that 1% of all tiles would be cracked at each site. Using the data in the below table. perfom a chi-square classification test of whether the observed number of cracked tiles significantly from the expected number of cracked tiles by answering questions a-e below. Site 1 Site 2 Site 3 Site 4 Total tiles inspected 5670 4830 6350 3160 Observed cracked tiles 63 52 76 44 Expected cracked tiles 56.7 48.3 63.5 31.6 a. Compute the degrees of freedom of the chi-square test. b. Compute the chi-square statistic of the chi-square test. e. From the chi-square distribution table, what is the critical chi-square value to which you will compare the chi-square statistic using the 10% level of significance? d. From the chi-square distribution table, what is the approximate p-value of the chi-square statistic computed in part b? e. What is your conclusion based on the results of this chi-square test?

5.( You recorded the number of cracked tiles at 4 different building sites after construction. Your null hypothesis is that 1% of all tiles would be cracked at each site. Using the data in the below table. perfom a chi-square classification test of whether the observed number of cracked tiles significantly from the expected number of cracked tiles by answering questions a-e below. Site 1 Site 2 Site 3 Site 4 Total tiles inspected 5670 4830 6350 3160 Observed cracked tiles 63 52 76 44 Expected cracked tiles 56.7 48.3 63.5 31.6 a. Compute the degrees of freedom of the chi-square test. b. Compute the chi-square statistic of the chi-square test. e. From the chi-square distribution table, what is the critical chi-square value to which you will compare the chi-square statistic using the 10% level of significance? d. From the chi-square distribution table, what is the approximate p-value of the chi-square statistic computed in part b? e. What is your conclusion based on the results of this chi-square test?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.( You recorded the number of cracked tiles at 4 different building sites after construction. Your null hypothesis is that 1% of all tiles would be cracked at each site. Using the data in the below table, perform a chi-square classification test of whether the observed number of cracked tiles significantly from the expected number of cracked tiles by answering questions a-e below. Site 1 Site 2 Site 3 Site 4 Total tiles inspected 5670 4830 6350 3160 Observed cracked tiles 63 52 76 44 Expected cracked tiles 56.7 48.3 63.5 31.6 a. Compute the degrees of freedom of the chi-square test. b. Compute the chi-square statistic of the chi-square test. c. From the chi-square distribution table, what is the critical chi-square value to which you will compare the chi-square statistic using the 10% level of significance? d. From the chi-square distribution table, what is the approximate p-value of the chi-square statistic computed in part b? e. What is your conclusion based on the results of this chi-square test? CS Scanned with CamScanner
Transcribed Image Text:5.( You recorded the number of cracked tiles at 4 different building sites after construction. Your null hypothesis is that 1% of all tiles would be cracked at each site. Using the data in the below table, perform a chi-square classification test of whether the observed number of cracked tiles significantly from the expected number of cracked tiles by answering questions a-e below. Site 1 Site 2 Site 3 Site 4 Total tiles inspected 5670 4830 6350 3160 Observed cracked tiles 63 52 76 44 Expected cracked tiles 56.7 48.3 63.5 31.6 a. Compute the degrees of freedom of the chi-square test. b. Compute the chi-square statistic of the chi-square test. c. From the chi-square distribution table, what is the critical chi-square value to which you will compare the chi-square statistic using the 10% level of significance? d. From the chi-square distribution table, what is the approximate p-value of the chi-square statistic computed in part b? e. What is your conclusion based on the results of this chi-square test? CS Scanned with CamScanner
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