se the following contingency table to complete (a) and (b) below. A B C Total 1 15 25 50 90 2 40 50 60 150 Total 55 75 110 240 Question content area bottom Part 1 a. Compute the expected frequencies for each cell. A B C 1 enter your response here enter your response here enter your response here 2 enter your response here enter your response here enter your response here (Type integers or decimals. Do not round.) Part 2 b. Compute χ2STAT. Is it significant at α=0.005? Set up the null and alternative hypotheses to test. Choose the correct answer below. A. H0: π1=π2 H1: Not all πj are equal (where j=1,2) B.H0: Not all πj are equal (where j=A,B, C) H1: πA=πB=πC C.H0:Not all πj are equal (where j=1, 2) H1: π1=π2 D. H0:πA=πB=πC H1: Not all πj are equal (wherej=A,B, C) Part 3 Compute χ2STAT. χ2STAT= (Round to three decimal places as needed.) Part 4 Find the p-value. p-value= (Round to three decimal places as needed.) Part 5 Is χ2STAT significant at α=0.005? A. No, because the p-value is less than the level of significance. B. Yes, because the p-value is greater than or equal to the level of significance. C.Yes,because the p-value is less than the level of significance. D. No,because the p-value is greater than or equal to the level of significance.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Question content area bottom

Part 1

a. Compute the expected frequencies for each cell.

	A	B	C
1	enter your response here	enter your response here	enter your response here
2	enter your response here	enter your response here	enter your response here
	(Type integers or decimals. Do not round.)

Part 2

b. Compute χ2STAT. Is it significant at α=0.005?

Set up the null and alternative hypotheses to test. Choose the correct answer below.

A. H0: π1=π2 H1: Not all πj are equal (where j=1,2)

B.H0: Not all πj are equal (where j=A,B, C) H1: πA=πB=πC

C.H0:Not all πj are equal (where j=1, 2) H1: π1=π2

D. H0:πA=πB=πC H1: Not all πj are equal (wherej=A,B, C)

Part 3

Compute

χ2STAT.

χ2STAT=

(Round to three decimal places as needed.)

Part 4

Find the p-value.

p-value=

(Round to three decimal places as needed.)

Part 5

Is χ2STAT significant at α=0.005?

A. No, because the p-value is less than the level of significance.

B. Yes, because the p-value is greater than or equal to the level of significance.

C.Yes,because the p-value is less than the level of significance.

D. No,because the p-value is greater than or equal to the level of significance.

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