USTAT217Q2F09W-solution

# USTAT217Q2F09W-solution - 26 125 75 1 75 75 76 1 ˆ =-=-= n...

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Statistics 217 – B23/B24 Quiz Two Solution February 13, 2009 1(a) The critical value of z: ± z 0.05 =± 1.96 . The critical values of p ˆ : L p , 0 ˆ =0.70- 125 30 . 0 * 70 . 0 96 . 1 = 0.619664 and U p , 0 ˆ =0.70+ 125 3 . 0 * 7 . 0 96 . 1 = 0.780336 The rejection region of p ˆ : p ˆ < 0.619664 or p ˆ > 0.780336 (b) p ˆ is approximately normally distributed with mean 0,72 and std dev ) 04016 . 0 ( 125 ) 72 . 0 1 ( 72 . 0 = - . (c) 927276 . 006237 . 933513 . 0 ) 502475 . 1 49843 . 2 ( ) 125 ) 72 . 0 1 ( 72 . 0 72 . 0 780336 . 0 125 ) 72 . 0 1 ( 72 . 0 72 . 0 619664 . 0 ( ) 72 . 0 | ˆ ˆ ˆ ( , 0 , 0 = - = < < - = - - < < - - = = < < = Z P Z P p p p p P U L β (d) Power = 1- β =0.072724 2 (a) n = 0.5(1-0.5) ( z α/2 /E) 2 = 0.25 (1.96/0.05) 2 = 384.16 Round UP to 385. (b) 2 2 / ) / )( ˆ 1 ( ˆ E z p p n g g α - = =0.75(1- 0.75)(1.96/0.05) 2 =288.12 Round UP to 289. 3 (a) H 0: p = .75 vs H a p > .75 76 . 125 95 ˆ = = p Test statistics
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Unformatted text preview: 26 . 125 ) 75 . 1 ( 75 . 75 . 76 . ) 1 ( ˆ =--=--= n p p p p z Critical value z 0.04 = 1.75069 Do not reject H since test statistic z < 1.75069 At the 5% significance level, data does not provide sufficient evidence to conclude that more than three in four shoppers believed that “Made in Canada means 100% of Canadian labor and materials”. (b) n p p z p ) ˆ 1 ( ˆ ˆ 2 /-± = 125 24 . 76 . 05375 . 2 76 . ⋅ ± = ( 0.681548, 0.838452) 1...
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## This note was uploaded on 09/10/2009 for the course STAT 217 taught by Professor Dan during the Winter '07 term at University of Calgary.

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