Answered: The following two-way table resulted…

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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Question

The following two-way table resulted from classifying each individual in a random sample of residents of a small city according to level of education (with categories "earned at least a high school diploma" and "did not earn a high school diploma") and employment status (with categories "employed full time" and "not employed full time").

	Employed full time	Not employed full time
Earned at least a high school diploma	52	40
Did not earn a high school diploma	30	35

Report the expected counts, the null and alternative hypotheses, the test statistic, and p- value. Does the test provide evidence at the .05 level that employment status differs between the levels of education?

Problem 1 (Test Statistic)

A. χ2 = 1.976

B. χ2 = 1.849

C. χ2 = 0.769

D. χ2 = 1.641

E. χ2 = 0.683

Problem 2 (p-value; conclusion)

A. p = 0.2002; RHo (Observed Values do not match Expectation)

B. p = 0.1958; FRHo (Observed Values match Expectation)

C. p = 0.2002; FRHo (Observed Values match Expectation)

D. p = 0.1958; RHo (Observed Values do not match Expectation)

E. p = 0.3723; RHo (Observed Values do not match Expectation)