A newspaper infographic titled \"Have a Nice Trip\" summarized data from a surve

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A newspaper infographic titled "Have a Nice Trip" summarized data from a survey of 1,000 U.S. adults who had traveled by air at least ance in the previous year. The infographic stated that 39% of respondents admitted to yel ing at a complete stranger while traveling. a Assuming that the sam ie was se ecte to be representat ve?the population o us. adults who have trave ed by air at east once the revious Year, what s ar es mate of the po lat on proportion who have ye ed a a complete strange mile travemg2 (b) Calculate the margin of error associated with your estimate in part (a). (Round your answer to four decimal places.) Interpret the margin of error associated with your esoimate in part(a) It is likely that the estimated proportion proportion of adults who have traveled by air at least once in the previous year who have yelled at a complete stranger while traveling differs from the true population proportion by the value calculated above. lt possible that the estimat? port on proportion of adults who have trave ed b y air at east once in the previous Year who have yelled at ? oom plete stranger while traveling df ers om the true population proportion by cas than the value c lculated above It is unlikely that the estimated proportion proportion of adults who have traveled by air at least once in the previous year who have yelled at a complete stranger while traveling differs from the true population proportion by more than the value calculated above. O t ísimpassibla that the QStimatad port on proportion of adults who have trave ed by air at-ast onca in the prg lous year who hava yalled at ? oompla e stranger whi e travalng dffers from the true population proportion by more than the value caculated above It is unlikely that the estimated praportion proportion of adults who have traveled by air at least once in the previous year who have yelled at a complete stranger while traveling differs from the true population proportion by less than the value calkulated above. -3 points PeckStut2 0.5.033. My Notos AskYour Too An articla in the Chicago Thbunet repcrted that in a poll of residants of the Chicago suburbs, 43% falt that thair financial situaion had improvad during tha past year. The following statemant is from the article: The findings of this Tribune poll are based on interviaws with 930 ran on Y selected suburban esidents. The sample ncluded suburban Cook County plus DuPage, Kan Lake Me en and Counties. În a sam le o s s ze, one can say wi S% certain that esults will differ by no more than 390 om results obtained a residents had been included in the pol Give a statistical argument to ustify the claim that the estimate of 43% is within 6 of the true proportion of residents ho eel that their financial situation has improved Round your margin of e or to four decimal places. The margin of error for a 9S% confidence interval with the given sam le proportion of and given sample size of which is approximately 3%, as stated

Explanation / Answer

a)

given that 39% of respondents admitted to yelling , the estimate of population proportion would be 0.39

b)
we know that the margin of error is given as
moe = z*sqrt(p*1-p/n)

here n = 1000 , p = 0.39 and z = 1.96 from the z table

= 1.96*sqrt(0.39*0.61/1000) = 0.030

margin of error is basically the amount of tolerance you can accomodate to derive inference from the sample about the population , hence choice A is correct

please ntoe that we can answer only 1 question at a time , as per the answering guidelines

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