## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

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?