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P Do Homework Julian Mata Google Chrome Secure https/www.mathal.com/Student/Player Homework-aspx homeworkld 469654957Biquestionld- 28flushed ulan Mata : 4/3/18 11:33 SP18 STAT 251G-D05 Homework: Section 9.4 Homework Score: 0 of 1pt 9.4.17 5of 9 (3 complete) HW Score: 32.73%, 3 6 of 1 B Assigned MediaQuestion Help you think you will have enough money to live comtortably or not Of the 1004 surveyed, 529 money tive comfortably n retrement Construct a g % tonfidence interva for the pro orton of aduts who are In a survey of 1004 adults, a poling agency askod, "When you rotire, do stated that they were womied about having enough womed about having enough money to live comtortably in retrement Click hece to.w the standard nomal dstibution table (page1 lick here to.yew the slandard normal dsthbution table (page 2 Select the corect choice below and till in the answer boxes to complete your choice (Use ascending ordor Round to three decimal places as needed ) A. OB. gg O c. There s a 99% protabity that the true proporton of worried aduts s between11andl 90% of the population les n the nterval betwoonland of There s 99% confidence tat the peporton of worned addts is between 11and Cick to select and enter your answer(s) and then click Check Answer All parts showing Clear All Check AnswerExplanation / Answer
Solution:-
option C. There is 99?% confidence that the proportion of worried adults is between 0.486 and 0.567
EXplanation:-
Given that n = 1004 , X = 529
p = X/n = 529/1004 = 0.527
q = 1-p = 1-0.527 = 0.473
Z = 2.576
99% confidence interval proportion of worried adults : p +/- Z*sqrt(pq/n)
: 0.527 +/- 2.576*sqrt(0.527*0.473/1004)
: 0.486 , 0.567
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