If Donald is simply guessing, he will be correct 50% of the time. In a particula

Question

If Donald is simply guessing, he will be correct 50% of the time. In a particular study Donald was successful 108/200 times. If someone has absoultely no extrasensory capibilities and is simply guessing, what is the probability of guessing correctly on at least 108/200 attempts. Given the probability you calculated, should Donald list himself as a psyhic phenomenon? Yes or no, and explain your answer?

I know my answer is wrong---my answer-donald is a physic phenomenon because there is only a 13% chance that a normal non physic person would get a 108/200 score. Is my answer correct? Can someone explain why Donald should not list himself as a physic phenomenon given the data?

Explanation / Answer

Ho : p = 0.5

Ha: p > 0.5

p^ = 108/200 = 0.54

Z = (p^ - p)/sqrt(pq/n)

= (0.54 - 0.5)/(sqrt(0.5*0.5/200) ) = 1.1313708

p-value = P(Z > 1.1313708) =0.1289

since p-value > 0.05

we fail to reject the null hypothesis

and conclude that there is no significant evidence that p > 0.5

hence Donald should not list himself as a physic phenomenon

Note : we fail to reject the null , if Donald was physic , then there should have been enough evidence to the claim

p > 0.5 . but the case is not so .

Your calculation was correct, but interpretation was wrong.

Thanks ,Please rate my solution

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.