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9. A private opinion poll is conducted for a politician to determine what propor

ID: 3366902 • Letter: 9

Question

9. A private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 4%? A) 2073 B) 1037 C) 849 D)17 10. A convenience store manager notices that sales of soft drinks are higher on hotter days. The data are shown here. Chigh temp) y (N 55 58 64 68 70 75 80 84 340 335 410 460 450 610 735 780 o. of cans sold A simple linear regression was calculated in StatCrunch and the results are given below. Simple linear regression results: Dependent Variable: var4 Independent Variable: var3 var4-621.82633 +16.416265 var3 Sample size: 8 R (correlation coefficient) -0.96732378 R-sq-0.9357153 Estimate of error standard deviation: 47.315058 If the high temperature is 68 degrees, what would the predicted amount of soft drinks consumed per capita? A) 460 B) 494 C)560 D) 515

Explanation / Answer

9)

option B is correct

10)

predicted amount =-621.82633+16.416265*68=494.4~ 494

option B

here margin of error E = 0.04 for99% CI crtiical Z          = 2.576 estimated proportion=p= 0.500 required sample size n =         p*(1-p)*(z/E)2= 1037.00