According to the U.S. Department of Health, 16-year-old males in the USA can do µ = 23 push-ups* . A phys ed instructor wants to determine if the fitness program in his school makes his students stronger. He randomly selects thirty 16-year-old males from his school and finds they can do M = 28 push-ups, with s = 10. Does the fitness program at the PE instructor's school have an effect on his students' strength, compared to 16-year-old males nationally? Critical value found to be 1.699, assuming α = .05.
Perform the remainder of the hypothesis test, using the critical value you generated above to make a decision about H0. Be sure to show any computations you perform, clearly label the observed value of the test statistic, clearly write your decision about H0, and state a conclusion (make sure it is not simply "reject H0" or "fail to reject H0", but instead a statement about the research question). Also, calculate Cohen's d if appropriate.
That is , there is sufficient evidence to conclude that the fitness program at the PE instructor's school have an effect on his students' strength, compared to 16-year-old males nationally.
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