Chapter 11, Problem 1CQQ

To determine

To identify: The null and alternate hypotheses.

Answer to Problem 1CQQ

The null Hypothesis, $\underset{\_}{H_0:p_1=p_2=p_3=p_4=p_5=\frac{1}{5}}$

The alternative hypothesis, $H_1$ is at least one of the proportions is not equal to the given claim.

Explanation of Solution

Given info:

The dataset shows that the frequencies for randomly selected nonfatal occupation injuries arranged to day of the week.

Justification:

Since, there are five days. The claim is to test whether such injuries occur with equal frequency on different days of the week. Each of the days has equal chance to occur as last day. Thus, the probability for each days to occur as last day has equal probability which is $\frac{1}{5}$.

Hence, the null hypothesis is,

$\underset{\_}{H_0:p_1=p_2=p_3=p_4=p_5=\frac{1}{5}}$

If the claim is false, then at least one of the days is different from the given probability of occurrence $\frac{1}{5}$. Hence, the alternative hypothesis is,

$H_1:$ At least one of the proportions is not equal to the given claim.