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Chapter 11: Q.3 (page 692)

Aw, nuts! Calculate the chi-square statistic for the data in Exercise 1. Show your work.

Short Answer

Expert verified

From the given information, the test statistics are6.5988

Step by step solution

01

Given Information

It is given in the question that,

p1=52%=0.52

p2=27%=0.27

p3=13%=0.13

p4=8%=0.08

n=Samplesize=150

The one-way table below displays the sample data.

02

Step 2: Explanation

The null and alternative hypotheses are:

H0: p1=p2=p3

H伪: At least one of piis different.

The calculation for the test statistic is done as:

03

Explanation

The test statistics are:

蠂2=鈭�(O鈭�E)2/E=6.5988

Therefore, the test statistics are6.5988

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