You are conducting a Goodness of Fit Chi-Squared hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency ((O-E)^2/E) A 22 14.60 3.75 B 15 14.60 0.011 C 15 14.60 0.011 D 11 14.60 NOT 0.89 E 10 14.60 1.45 Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations.Round the ((O-E)^2/E) values to 3 decimals.What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.)χ2=χ2= ?What are the degrees of freedom for this test?d.f.= 4What is the p-value for this sample? (Round answer to 3 decimal places.)p-value = ?Please answer all questions according to requirements
You are conducting a Goodness of Fit Chi-Squared hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency ((O-E)^2/E) A 22 14.60 3.75 B 15 14.60 0.011 C 15 14.60 0.011 D 11 14.60 NOT 0.89 E 10 14.60 1.45 Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations.Round the ((O-E)^2/E) values to 3 decimals.What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.)χ2=χ2= ?What are the degrees of freedom for this test?d.f.= 4What is the p-value for this sample? (Round answer to 3 decimal places.)p-value = ?Please answer all questions according to requirements
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
Related questions
Question
You are conducting a Goodness of Fit Chi-Squared hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table.
| Category | Observed Frequency | Expected Frequency | ((O-E)^2/E) |
|---|---|---|---|
| A | 22 | 14.60 | 3.75 |
| B | 15 | 14.60 | 0.011 |
| C | 15 | 14.60 | 0.011 |
| D | 11 | 14.60 | NOT 0.89 |
| E | 10 | 14.60 | 1.45 |
Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations.
Round the ((O-E)^2/E) values to 3 decimals.
What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.)
χ2=χ2= ?
What are the degrees of freedom for this test?
d.f.= 4
What is the p-value for this sample? (Round answer to 3 decimal places.)
p-value = ?
Please answer all questions according to requirements
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