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Chapter 12: Q.12.21 (page 491)

Distribution 0.2,0.1,0.1,0.3,0.3.

observed frequencies 9,7,1,12,21..

Significant level 伪=0.10.

Short Answer

Expert verified

The variable has given distribution.0.2,0.1,0.1,0.3,0.3

Step by step solution

01

Given Information

Distribution 0.2,0.1,0.1,0.3,0.3.

observed frequencies 9,7,1,12,21..

Significant level 伪=0.10.

02

Explanation

To find the goodness fit test,

No. of. Sample size =9+7+1+12+21.

Observed frequencies9711221Relative frequenciesp0.20.10.10.30.3Expected frequenciesnp105515v(obs-exp)2exp0.10.83.20.62.4蠂2=鈭�(obs-exp)2exp=7.1

Degrees of freedom,

=k-1

=5-1

=4

03

Explanation

The critical value, with 4dfis 蠂20,10=7.779

蠂2=7.1<蠂20,10=7.779

Because it does not comes in the rejection region. To accept the Null hypothesis H0.

H0has distribution in the given problem.

Therefore, the variable has given distribution.

The pvalue is: 0.13060.1306

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