What is the power of the test

Reference no: EM131421746

A basketball player with a poor foul-shot record practices intensively during the off-season. He tells the coach that he has raised his proficiency from 60% to 80%. Dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. Did the player prove that he has improved?

a) Suppose the player really is no better than before still a 60% shooter. What's the probability he can hit at least 9 of 10 shots anyway? (Hint: Use a Binomial model.)

b) If that is what happened, now the coach thinks the player has improved when he has not. Which type of error is that?

c) If the player really can hit 80% now, and it takes at least 9 out of 10 successful shots to convince the coach, what's the power of the test?

d) List two ways the coach and player could increase the power to detect any improvement.

Reference no: EM131421746

Questions Cloud

What is the alternative hypothesis : What is the alternative hypothesis?- Given that the outcome of your spin is tails, what would you decide? What if it were heads?What is the alternative hypothesis?-

Why the human resource function should be aligned : Why the human resource function should be aligned with an organization's strategic plan, andHow current global conditions in Maersk's industry impact human resource management practices within this organization.

Who would participate in the stop smoking program : For which of the groups could we use our methods of inference to determine a 95% confidence interval for the proportion of employees who would participate in the stop-smoking program?

What level of education and experience should be necessary : Create a detailed job description to attract qualified candidates for several customer service representative positions. Research and create a PowerPoint presentation of at least 6 slides with 200 or more words of speaker notes per slide that addr..

What is the power of the test : If the player really can hit 80% now, and it takes at least 9 out of 10 successful shots to convince the coach, what's the power of the test?

Whats probability that this test convinces her to use it : Suppose the new, expensive clay really is no better than her usual clay. What's the probability that this test convinces her to use it anyway?

Create confidence intervals for proportion of buildings : For which of the building classifications could you use our methods of inference to create 95% confidence intervals for the proportion of buildings lacking the required inspection?

Do you feel like these new options are trends : Recently, human resources (HR) recruiters have utilized their company Web site job board, online job boards, social media, and other industry-specific job boards or Web sites to fill all types of positions.As an HR recruiter, you are in need of ne..

Determine the optimal ordering for electro : Electro uses resin in its manufacturing process at the rate of 1000 gallons per month. It cost Electro $100 to place an order. The holding cost per gallon per month is $2, and the shortage cost per gallon is $10. Historical data show that the demand ..

User Account

All Pages