Question

Can someone answer and explain how to do these problems?

1 Type II Error: For the roulette table in (Q6), determine which hypothesis testing scenario has the larger Type II error probability for a two-sided hypothesis for HO: p=18/19:

1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 , α=0.05.

2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96, α=0.05.

3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97, α=0.01.

Describe how the Type II error is influenced by N, p and α.

2. Hypothesis Testing: You collect data on N=100 individuals of similar height and weight who enter the Whole 30 diet program. You plan to conduct the following two-sided hypothesis test (α=0.01): H0: The average weight loss is 5 pounds (µ=5). HA: The average weight loss is not 5 pounds (µ≠5).

a) Suppose the true mean weight loss (µ) does equal 5 pounds. You compute a test statistic of Z = 2.2.

(i) State your decision: Reject H0 / Do Not Reject H0. (Circle your answer clearly)

(ii) Was an error made? Type I Error / Type II Error / Neither. (Circle your answer clearly)

b) Suppose the true mean weight loss (µ) equals 7 pounds. You compute a test statistic of Z = 2.2.

(i) State your decision: Reject H0 / Do Not Reject H0. (Circle your answer clearly)

(ii) Was an error made? Type I Error / Type II Error / Neither. (Circle your answer clearly)

Answer 1

Detesmine whch fotheais testH cenasto ha he Hese p no Total bets LOO 00-350 o, ooo P 9650 10,00 o P- o65

cX substtta the Jalues 1o.0oD O. 3375 1oo .965十0.00360 o, ooo 1

3 Test stai sttc Pa lo,ooo o.ou 33 2Y , 22 323

千 Poom -) It does not contain the Vale Pso.q47Y Thesefose Pst ta and past (b) ase conststenb ay Suppose the an wtloss cu) a tat Statiste z 2-2

Reset 4, 2-22 stand es% std deviaton Ln) llo)

subsitute he Jalua - 3. ou to 6q6 Hence = PL3.ou< x < 6.a - PL-2.46

300 ㄧㄧㄨ