Answer
Yes.
Work Step by Step
a. State the hypotheses and identify the claim.
$H_o:$ At α= 0.05, the proportions of injuries for males are equal for each of the four months.(claim)
$H_a:$ At α= 0.05, the proportions of injuries for males are not equal for each of the four months.
b. Find the critical value(s).
$\alpha=0.05, df=(2-1)(4-1)=3, \chi^2_c=5.841$
c. Compute the test value.
Calculate the expected values (in parenthesis)
Male 51 (57) 47 (57) 58 (57) 63 (57)
Female 49 (43) 53 (43) 42 (43) 37 (43)
Calculate $\chi^2=\sum\frac{(O-E)^2}{E}=7.06$
d. Make the decision.
$\chi^2>5.841$ we reject the null hypothesis.
e. Summarize the results.
At α= 0.05, he can reject the claim that the proportions of injuries for males are equal for each of the four months?
