Of 1005 adults in a certain country responding to a​ poll, 47% said they always or often read nutrition labels when grocery shopping. a. Find a​ 95% confidence interval for the population proportion of adults in the country who always or often read nutrition labels when grocery shopping. Assume the poll used a simple random sample​ (SRS). (In​ fact, it used random​ sampling, but a more complex method than​ SRS.)   b. What is the width of the​ 95% confidence​ interval?   c. Name a confidence level that would produce an interval wider than the​ 95% confidence interval. Explain why you think this interval would be wider than a​ 95% confidence interval.

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Of 1005 adults in a certain country responding to a​ poll, 47% said they always or often read nutrition labels when grocery shopping.

a. Find a​ 95% confidence interval for the population proportion of adults in the country who always or often read nutrition labels when grocery shopping. Assume the poll used a simple random sample​ (SRS). (In​ fact, it used random​ sampling, but a more complex method than​ SRS.)
 
b. What is the width of the​ 95% confidence​ interval?
 
c. Name a confidence level that would produce an interval wider than the​ 95% confidence interval. Explain why you think this interval would be wider than a​ 95% confidence interval. 
 
d. Construct the interval using the confidence level you proposed in part​ (c) and find the width of the interval. Is this interval wider than the​ 95% confidence​ interval?
 
Find the width of this interval.
 
(Please answer all these questions)
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