The hypotheses areH, : P, = P. = Ps - P.At least one of the proportions is different. (claim)Since. = 0.10 the critical value is 6.251The test value is:(round to 3 decimal places)The p-value is(round to 3 decimal places)

Answered: The hypotheses are H, : P, = P. = Ps -…

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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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)

Expert Solution

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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