A" Read aloud 1. In a 2011 Time/Money Magazine survey, Americans age 18 years and older were asked if "we are less sure that our children will achieve the American Dream." Of the respondents, 65% said yes, 29% said no, and 6% said that they did not know. Assume that these percentages hold true for the 2011 population of Americans age 18 and older. Recently, 1000 randomly selected Americans age 18 years and older were asked the same question. Of the 1000 Americans surveyed, 624 said yes, 306 said no and 70 said that they did not know. Test whether the current distribution of opinions is different from that of 2011 at the 2.5% significance level. a) Identify the hypotheses: Ho: На: b) Complete the following table (round to 3 decimal places) and identify the test statistic, X2. Responses Relative Freq, p Observed Freq, O Expected Freq, E= np (0 – E)? Yes No Don't Know Total c) Sketch and shade the Chi-Square curve. Then find the df, the critical value for this test and state whether you will reject the null hypothesis. d) State your final conclusion at the 2.5% significance level. 2. The contingency table below summarizes the fate of the passengers and crew when the Titanic sank on Monday, April 15, 1912. a) Complete the table by finding all of the missing frequencies. Status Men 332 Women Boys Girls Total Survived 29 27 Died 104 35 18 Total 1692 422 45 b) What percentage of those who were on board survived? c) What percentage of the men on board survived? d) What percentage of the women on board survived? e) What percentage of women on board who did not survive? F11 Duick Balance S Payment Plan Shift ETRL F7View Statements shift F& New Task DEL LL ton-on-Huds South Riverside (914) 26 13 e PERSONAL IN 10901 AN. prelps'