MM.20.b

Interpret a confidence interval in context and use it to make strategic decisions.

Example Problems
A restaurant chain wants to make a one-sample z interval to estimate the proportion of customers who are satisfied with a new menu item. They want the margin of error to be no more than at confidence.

What is the smallest
sample size required to obtain the desired margin of error?
A quality engineer wants to use a one-sample z interval to estimate what proportion of lightbulbs fail before 1000 hours. She wants the margin of error to be no more than at the 95% confidence level.

What is the smallest
sample size required to obtain the desired margin of error?
A broadband task force wants to make a one-sample z interval to estimate the proportion of households with high-speed internet. They want the margin of error to be no more than at the 95% confidence level.

If we assume
, what is the smallest sample size required to obtain the desired margin of error?
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