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211-01-02+Class+17+HW12_1_

211-01-02+Class+17+HW12_1_ - HW 12 Ex 35(p 439 Issue...

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HW 12 Ex 35 (p 439) Issue: Quality of two TV commercials BusQues: Can we conclude that there is a difference in the "recall proportions" for the two commercials? (If so, which is a stronger commercial?) Data: Telephone surveys after commercials shown 6 times in one week. (evidence) Sample of 150 individuals vis-à-vis commerical A; 63 recalled it. p-barA = 0.420 sample recall proportio Sample of 200 individuals vis-à-vis commercial B: 60 recalled it. p-barB = 0.300 sample recall proportio p-bar = pooled est of p = 0.351 =(150*0.42 + 200*0.30)/(150+200 Analysis: Normal Test for Two Proportions [need because Ho includes equality] 1 2 (2) If Ho is true, this statistic is Normal with mean = 0 and std err we can calculate. Std Error = 0.052 =(p-bar*(1-p-bar)*(1/150+1/200))^.5 <-- Need to use "poole 3 Sig Level: alpha = 0.05 4 Reject rule: -0.101 or > 0.101 5 Calculations: =NORMINV(.025,0,0.052) =NORMINV(0.975,0,0.052) 0.120 p-value = 0.020 =1-NORMDIST(0.12,0,0.052,TRUE) 6 Conclusion: Reject Ho BusAnswer: For these samples, the recall is 12 % higher for commercial A than B. Sample Recall proportion (A) = 0.42, i.e. 42% of the sample of 150 recalled commercial A. Sample Recall proportion (B) = 0.30, i.e. 30% of the sample of 200 recalled commercial B. Ho: p A = p B , or p A -p B = 0 Ha: p A <> p B , or p A -p B <> 0 Test statistic: (1) p-bar A - pbar B , (difference in the sample proportions) Reject Ho if (p-bar A -p-bar B ) < p-bar A -p-bar B = The data of these two samples provide strong evidence to conclude that the recall proportion for commercial A is higher than that for commercial B.
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on --A on --B 0) ed" p-bar
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Issue: Men and women stopping and asking question. BusQues: Are women more likely to stop and ask questions than men? Data: Automobile Association of America survey (January 2006) -- sample of 811 women and 7 "If you and your spouse are driving together and become lost, would you stop and ask for Sample results: Yes Total p-bar's Women Since Ho will include '= Men Pooled p-bar = Analysis: Normal Test for Two Proportions 1. Hyp's 2. TeStat: 1) 2) 3. SigLev: alpha = 0.05 4. Rej Rule: 5. Calculations: 6. Concl: Answer:
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1--Yes, 0--No Women Men 750 men: 0 0 r directions?" 1 0 1 0 =', 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 1
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0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0
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