class09-1-handouts

class09-1-handouts - PSTAT 120B - Probability &...

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Class # 09-1- Small sample tests Jarad Niemi University of California, Santa Barbara 24 May 2010 Jarad Niemi (UCSB) Small sample tests 24 May 2010 1 / 16
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Class overview Announcements Announcements Homework Homework 6 due today by 4pm in SH 5518 Homework 7 will be assigned soon and will be due 2 June @ 10am in class Jarad Niemi (UCSB) Small sample tests 24 May 2010 2 / 16
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Class overview Goals Small sample tests P-value applet Jarad Niemi (UCSB) Small sample tests 24 May 2010 3 / 16
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Review P-values Exercise 10.57) A publisher of a newsmagazine has found through past experience that 60% of subscribers renew their subscriptions. In a random sample of 200 subscribers, 108 indicated that they planned to renew their subscriptions. If Z N (0 , 1), what is the p -value associated with the test that the current rate of renewals differs from the rate previously experienced? (a) P Z < 108 / 200 - 0 . 6 q . 6( . 4) 200 ! (b) P Z > 108 / 200 - 0 . 6 q . 6( . 4) 200 ! (c) 2 P Z > 108 / 200 - 0 . 6 q . 6( . 4) 200 ! (d) 2 P Z < 108 / 200 - 0 . 6 q . 6( . 4) 200 ! H 0 : p = 0 . 6 H a : p 6 = 0 . 6 z = 108 / 200 - 0 . 6 q . 6( . 4) 200 p - value = P ( | Z | > | z | ) = P | Z | > ± ± ± ± ± 108 / 200 - 0 . 6 q . 6( . 4) 200 ± ± ± ± ± ! = 2 P Z > ± ± ± ± ± 108 / 200 - 0 . 6 q . 6( . 4) 200 ± ± ± ± ± ! = 2 P Z < 108 / 200 - 0 . 6 q . 6( . 4) 200 ! Jarad Niemi (UCSB) Small sample tests 24 May 2010 4 / 16
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Areas under pdfs The probability density function of T , a t-distribution with 10 degrees, is depicted below. If P ( T > - c ) = 1 - α [red area], what is P ( | T | > c ) [the hatched area]? (a)
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class09-1-handouts - PSTAT 120B - Probability &amp;...

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