A sociologist is attempting to estimate the proportion ofAmericans who have never left their home state. She conducts asample of 1837 Americans, and finds that 13 % of them statethat they had never left their home state.Define your variable:O Let u me the mean percent of Americancs in the sample whohave never left their home state.O Let p be the proportion of Americans who have never lefttheir home state.o Let u be the mean percent of Americans who are in thesample.O Let p be the proportion of the sampled Americans who havenever left their home state.Create and interpret a 95% Confidence Interval. Typepercentages rounded to two decimal places. Do not type a %symbol. For example, for 87.357%, you would type 87.36.Select an answer% and%.What is the margin of error? Round your answer to one decimalplace.5.Another sociologist believes that the proportion of Americanswho have never left their home state is 14.6%. What do you thinkof this claim?The claim is inside the interval. It must be true.That claim is not in our interval. We do not believe it.O The claim is above the sample proportion, so there is noway it can be true.O The claim is inside the interval. It is reasonable. have never left their home state.O Let p be the proportion of Americans who have never letheir home state.o are in theV Select an answerricans who95% of all Americans havenever left their home stateCbetweenТуреnot type aS(ре 87.36.95% of the sampledAmericans have never lefttheir home state betweento one deciWe are 95% confidenti of Americahat do you tAthat the proportion ofAmericans who havetrue.never left their home statebelieve it.is betweenso there is nable.We are 95% confidentthat the proportion of thesampled Americans whohave never left their homeSIstate is betweeny Atlas Ship

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According to guidelines we solve first three subparts when given multiple subparts.