Week 2 Exercises - #9.62 H0: p = 0.95 H1: p >...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
#9.54 (a) H0: mu = 10 H1: mu > 10 one-tailed t-test with a = 0.01; df 35-1 = 34, critical value t = 2.326 Test statistic: T = (14.44-10)/[4.45/sqrt(35)] = 5.9028 Since T > 2.326 weject H0 and conclude that there is statistical evidence that the true mean is > 10 (b) p-value = 0.00000057579 ----------- #9.56 (a) phat = 38/60 = 0.6333 H0: p = 0.5 H1: p > 0.5 a = 0.10 Test statistic Z = (phat - p)/sqrt[p(1-p)/n] = (0.6333 - 0.5)/sqrt[0.5(1-0.5)/60] = 2.065 Decision rule: Reject H0 if Z > 1.2816 Since 2.065 > 1.2816 we reject H0 and conclude that the coin is biased. (b) p-value = 0.019434 Since the p-value < 0.10 we reject the null hypothesis and conclude that the coin is biased. -------
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: #9.62 H0: p = 0.95 H1: p &gt; 0.95 Decision rule: Reject H0 if z &gt; 1.96. Test statistic Z = (phat-p)/sqrt[p*(1-p)/n] = (485/500-0.95)/sqrt(0.95*(1-0.95)/500) = 2.0519 Since 2.01519 &gt; 1.96 we reject H0 and conclude that they are exceeding their goal.--------#9.64 H0: u = 250 H1: u &gt; 250 (one-sided) a = 0.05 Test statistic t = (xbar - u)/(s/sqrt(n)) df = 25-1 = 24 Rejection region: Reject H0 when T &gt; t(0.95, 24) = 1.711 Value of test statistic: t = (275.66 - 250)/(78.11/sqrt(25)) = 1.643 Since 1.643 &lt; 1.711 we fail to reject H0 and conclude that the average patient does not pay more than $250. This was a close decision, the p-value is 0.0567!...
View Full Document

This note was uploaded on 01/05/2012 for the course 101 melissa jo taught by Professor Acc101 during the Spring '11 term at Aarhus Universitet.

Page1 / 3

Week 2 Exercises - #9.62 H0: p = 0.95 H1: p &amp;amp;gt;...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online