The General Social Survey asked 1,578 US residents: “Do you think the use of marijuana should be made legal, or not?” 61% of the respondents said it should be made legal. a.) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal, and interpret it in the context of the data. b.) A news piece on this survey’s findings states, “Majority of Americans think marijuana should be legal-ized.” Based on your confidence interval, is this news piece’s statement justified?
The General Social Survey asked 1,578 US residents: “Do you think the use of marijuana should be made legal, or not?” 61% of the respondents said it should be made legal.
a.) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal, and interpret it in the context of the data.
b.) A news piece on this survey’s findings states, “Majority of Americans think marijuana should be legal-ized.” Based on your confidence interval, is this news piece’s statement justified?
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a critic points out that this 95 % confidence interval is only accurate if the statistic follows a normal distrubution , or if the normal model is a good approximation. is this true for this data? explain