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Chapter 11: Q.1.3 (page 681)

Calculate the chi-square statistic for Joey’s sample. Show your work

Short Answer

Expert verified

The expected counts are 10.58,10.59,6.9,6.9,5.52 and 5.52 respectively.

Step by step solution

01

Given Information

The number of blue, orange, green, yellow, red and brown candies are 12,7,13,4,8 and 2 respectively. The proportions are 23%,15% and 12% respectively.

02

Explanation

The formula to compute the test statistic is

χ2=∑(O-E)2/E

The calculation for test statistics could be done as:

localid="1650604126183" Observed valueExpected value(O-E)(O-E)2(O-E)2/E1210.581.422.01640.191710.58-3.5812.8161.211136.96.137.215.39345.9-2.98.411.21985.522.486.15041.11420325.52-3.5212.39042.244638

The test statistic is:

χ2=∑(O-E)2E

=11.3724

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