Math  /  Data & Statistics

QuestionA poll reported that 70.1%70.1 \% of adults in a certain country believe that organic produce is better for health than conventionally grown varieties. Assume the sample size was 1000 and that the conditions for using the CLT are met. Complete parts (a) through (d) below. a. Find and interpret a 95%95 \% confidence interval for the proportion of adults in the country who believe organic produce is better for health.
The 95%95 \% confidence interval for the proportion of adults in the country who believe organic produce is better for health is ( 0.673,0.7290.673,0.729 ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. We are \square \% confident that every sample proportion of adults in the country who believe organic produce is better for health is between \square and \square I. B. There is a \square \% chance that the sample proportion of adults in the country who believe organic produce is better for health is between \square and \square C. We are 95%95 \% confident that the population proportion of adults in the country who believe organic produce is better for health is between 0.673 and 0.729 . D. There is a \square \% chance that the population proportion of adults in the country who believe organic produce is better for health is between \square and \square . b. Find and interpret an 80%80 \% confidence interval for this population parameter.
The 80%80 \% confidence interval for the proportion of adults in the country who believe organic produce is better for health is ( 0.682,0.7200.682,0.720 ). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) A. There is an \square \% chance that the population proportion of adults in the country who believe organic produce is better for health is between \square and \square . B. We are \square \% confident that every sample proportion of adults in the country who believe organic produce is better for health is between \square \square C. There is an \square \% chance that the sample proportion of adults in the country who believe organic produce is better for health is between \square and \square D. We are %\% confident that the population proportion of adults in the country who believe organic produce is better for health is between \square and

Studdy Solution
a. C. We are **95%** confident that the population proportion of adults in the country who believe organic produce is better for health is between **0.673** and **0.729**. b. The 80% confidence interval is (**0.682**, **0.720**). D. We are **80%** confident that the population proportion of adults in the country who believe organic produce is better for health is between **0.682** and **0.720**.

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