Are you kely to pu rase n em promoted by ceebrit, on asocial med sie? According

Question

Are you kely to pu rase n em promoted by ceebrit, on asocial med sie? According to survey, 27% o soc1 | mecia users have made sucha purchase omplete parts 'al trough ( below a. Suppose that te sne had sample 5 ze c n-700. Construct 96% comdence ntervsl estimate ar he popul con propor onsoal med, users thst h vs purchased sn item promoted o celebrits on a soc al mede 5 e. Type an inbcger or a decimal. Round to four decimal placcs s necded.) A. No, because the contidence iterval contains proportion values that re les 1nan 0.25. construct a sse conndance nterva esdm2te tor the populadon proport on ot sodal medi users that have purchased 2n nem promoted by a cokbnty on a sadal medla site. B sedor tie tonfidence m erval created usr sample sze o 10,000 cen you c aim at more thand qu rter all vas med user hrve purchased an em promoted by celebrity on, socel mea" site? o c Yes with 95% coridence because th,,tmpe proportion rs gre ter tan qurser and i fals within thu limits of the confidence rter al estrnale O D. Yes with 95% conidence because al te values contained in the confidence interval are greater tnan 0.25. d. Cizcuss the etiect oisape ize on oidenz intrvalcsimatan. Chaoo h corect anwer below A. A larger sample size has no citcct on corticence innerval holding everyting clsc constant O H. Alangar sapla sba asults in a namower contdants intarval hoking erything alsa constant

Explanation / Answer

Answer to the question is as follows:

a.n = 700
A 95% CI is p +/- Z*sqrt(p*p'/n)
=.27 +/- 1.96*sqrt(.27*.73/700)
=.2371 to .303

b. A is right. If it contains values less than .25 then population proportion can be
less than .25

c. n = 10000
A 95% CI is p +/- Z*sqrt(p*p'/n)
=.27 +/- 1.96*sqrt(.27*.73/10000)
=.2613 to .2787

D is right now. All values of this 95% CI lie more than .25

d. B is right. A larger sample size results in a narrower CI, having other things constant.

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