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Chapter 12: Q. 12.11 (page 491)

In each case, decide whether Assumptions 1and 2for using chi-square goodness-of-fit test are satisfied.

Sample size: n=100.

Relative frequencies:0.65,0.30,0.05.

Short Answer

Expert verified

Both Assumption1and2are satisfied.

Step by step solution

01

Step 1. Given information

Sample sizen=100.

02

Step 2. Assumption 1:

Relative frequency
p		 Expected frequency
np
0.65 65
0.30 30
0.05 5

All the expected frequencies are鈮�1.

鈭�Assumption 1is satisfied.

03

Step 3. Assumption 2:

Number of expected frequencies less than 5=0

%of expected frequencies less than 5=03脳100

=0.0<20%

鈭�Assumption 2is satisfied.

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