***PLEASE INCLUDE CORRECTLY ROUNDED NUMBERS*** YES- 240 NO- 530 NOT SURE- 230 On
ID: 3327760 • Letter: #
Question
***PLEASE INCLUDE CORRECTLY ROUNDED NUMBERS***
YES- 240
NO- 530
NOT SURE- 230
One of the questions on a survey of 1,000 adults asked if today's children will be better off than their parents (Rasmussen Reports website, October 26, 2012). Representative data are shown in the WEBfile named ChildOutlook. A response of Yes indicates that the adult surveyed did think today's children will be better off than their parents. A response of No indicates that the adult surveyed did not think today's children will be better off than their parents. A response of Not Sure was given by 23% of the adults surveyed lick on the webfile or to reference the data WEB file a. What is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents (to 2 decimals)? b, At 95% confidence, what is the margin of error (to 4 decimals)? C. What is the 95% confidence interval for the proportion of adult's who do think that today's children will be better off than their parents (to 4 decimals)? to d. what is the 95% confidence interval for the proportion of adult's who do not think that today's children will be better off than their parents (to 4 decimals)? to e. Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? -Select your answer- part (c) part (d)Explanation / Answer
a) P(Yes) = 240/1000 = 0.24
b) SEp = sqrt[ p * ( 1 - p ) / n ] = 0.0135056
df = 1000-1 = 999, t* = +/- 1.96
ME = 1.96*0.0135056 = 0.0265
c) (0.24-0.0265, 0.24 + 0.0265) = (0.2135, 0.2665)
d) P(No) = 0.53
SE = 0.0157829
ME = 1.96*0.0157829 = 0.0309
95% CI = (0.4991, 0.5609)
e) Part C as 0.0265 < 0.0309
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