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A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biasedtoward heads? Show your decison rule and calculations. (b) Calculate a p-value and intepret it.

Submitted: 238 days and 3 hours ago.

Category: Math

Value: $25

Status: CLOSED

Level: College 4th year; Subject: Research 342

Already Tried:
Textbook, Idiots guide to stats, Internet,

Accepted Answer

Hi again,

(a)
Ho: p ≤ 0.5
Ha: p > 0.5

phat = 38/60 = 0.63

test statistic = (phat - p)/sqrt(p(1-p)/n) = (0.63 - 0.5)/sqrt(0.5(1-0.5)/60) = 2.0656

critical value = 1.6449

decision rule: Reject Ho if z > 1.6449

We reject the null hypothesis since the test statistic is greater than the critical value. We have sufficient evidence to conclude that the coin is biased toward heads.

p-value = 0.0194

p-value is smaller than 0.1. This also supports our decision.

Accepts:
Expert:	abozer
Pos. Feedback:	99.9 %
Answered:	3/30/2009

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Question

A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biasedtoward heads? Show your decison rule and calculations. (b) Calculate a p-value and intepret it.

Optional Information

Level: College 4th year; Subject: Research 342

Already Tried:
Textbook, Idiots guide to stats, Internet,

Accepted Answer

Math

Have your own Math question?

Related Math Topics:

Question

A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biasedtoward heads? Show your decison rule and calculations. (b) Calculate a p-value and intepret it.

Optional Information

Level: College 4th year; Subject: Research 342 Already Tried: Textbook, Idiots guide to stats, Internet,

Accepted Answer

Related Math Questions

Level: College 4th year; Subject: Research 342

Already Tried:
Textbook, Idiots guide to stats, Internet,