Question

A study was made of 147 industrial accidents that required medical attention. A researcher claims that the accidents occur with equal proportions on the 5 workdays. If the test statistic  χ² = 10.65 and the critical value χ² (4)= 9.49,  then

		accept the claim that the accidents occur with equal proportions on the 5 workdays
		reject the claim that the accidents occur with equal proportions on the 5 workdays
		fail to reject the claim that the accidents occur with equal proportions on the 5 workdays
		reject the claim that the accidents occur with equal means on the 5 workdays

Answer 1

Solution:

Given data

Critical value χ2(4)= 9.49

Test statistic  χ² = 10.65

Now to state the null and alternative hypothesis:

Null hypothesis H0: P1=P2=P3=P4=P5

Alternative hypothesis H1: H0 is not true

This is a right tailed test.

Decision:

Critical value χ2(4) < test statistic  χ²

9.49 < 10.65

Since the chi square critical value is less than the chi square statistic.Therefore we reject the null hypothesis(H0).

Conclusion:

reject the claim that the accidents occur with equal proportions on the 5 workdays.

Hence the "Option -B" is the correct answer.