Homework%20#11 - Homework 11 Page 332 7.12 7.13 7.15 7.16...

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Homework # 11 Page 332 7.12,   7.13,   7.15,   7.16,   7.18,   7.21,   7.22 I’ve overworked some of these problems, and there may be much more on this  sheet than I expect on your own homework, as I am working out more  possibilities than a single response may require in order to illustrate some  aspects of the material.  Also there may be some rounding variance with the  text.  Do not worry as long as you understand the process. 7.12  Crime Victims:  GSS   n = 987    17 yes    970 no a.  Point Estimate of Proportion (of victims) p hat  =  Yes / n    =     17 / 987 =  0.0172239    rounded answer 0.017 b. Standard Error se  = sro p (1 – p) / n  se  = sro 0.0172239 (1-0.0172239) / 987 se  = sro 0.0172239 (0.9827761) / 987 se  = sro 0.0169272 / 987 se  = sro 0.0000171 se  =  0.0041352   rounded answer 0.004 c. Margin of Error for 95% CI +/- 1.96  se +/- 1.96 (0.0041352) = +/-  0.0081049  rounded answer +/- 0.008
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Error:  +/- 1.96 ( 0.004 ) = +/-  0.00784  rounded answer +/- 0.008  This time it gives the correct number rounded, but may not on another occasion. d. 95% Confidence Interval p hat  +/- margin of error for 95% CI 0.0172239 +/- 0.0081049 =   0.009119,  0.0253288 Rounded answer  0.009,  0.025 Error:   0.017 +/- 0.008   =   0.009,  0.025 This time it gives the correct number rounded, but may not on another occasion.
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7.13  How GREEN are you? 2000 GSS   n = 1170
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Homework%20#11 - Homework 11 Page 332 7.12 7.13 7.15 7.16...

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