The hypotheses are H, : P, = P. = Ps - P. At least one of the proportions is different. (claim) Since. = 0.10 the critical value is 6.251 The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places)
The hypotheses are H, : P, = P. = Ps - P. At least one of the proportions is different. (claim) Since. = 0.10 the critical value is 6.251 The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter28: Degree Of Precision, Greatest Possible Error, Absolute Error, And Relative Error
Section: Chapter Questions
Problem 43A
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Step 1 Answer and Explanation:
Objective: To test whether the proportions of students favoring foreign language speaking dorms are not same or not.
Setting of Hypothesis:
Null Hypothesis H0 : There is no sufficient evidence to conclude that the proportions of students favoring foreign language speaking dorms are not same.
Alternative Hypothesis H1 : There is a sufficient evidence to conclude that the proportions of students favoring foreign language speaking dorms are not same.
Formulae:
To find the expected values we need to use the appropriate test that is Chi-square test for goodness of fit.
The formula for the Chi-square test of goodness of fit is
where O is observed values and E is expected values.
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