An economist is evaluating how frequently the U.S. inflation rate exceeds the Federal Reserve's long-term target of 2% per $yr\thickapprox0.17\%$ per month. The economist finds that in 34 of the 48 sampled months, the monthly inflation rate did exceed $0.17\%$.
Under stable conditions the inflation rate should not exceed the target more than $20\%$ of the time. Can the economist conclude that inflation has exceeded the target more than $20\%$?

You want to make a $97\%$ confidence interval for the population proportion of people between $20-30$ years old who have gotten a speeding ticket in the past $2$ years. A prior study found that $26\%$ of people between $20-30$ years old have received a speeding ticket in the last year. If you want your estimate to be accurate within $3\%$ of the true population proportion, what is the minimum sample size needed? 

Make a confidence interval for $p$ given the following values.

$x=314,n=500,C=99\%$

Make a confidence interval for $p$ given the following values.

$p̂=0.15,n=60,C=90\%$

An economist is evaluating how frequently the U.S. inflation rate exceeds the Federal Reserve's long-term target of 2% per $yr\approx 0.17\%$ per month. The economist finds that in 34 of the 48 sampled months, the monthly inflation rate did exceed $0.17\%$.

Make a $95\%$ confidence interval for the true proportion of months in which the inflation rate exceeds the target.

We are ___$\%$ confident that the inflation rate exceeds the target in between (_––––,_––––) of months. 

A factory manager wants to estimate the proportion of defective items produced. In a batch of 20 items, the factory has produced 6 with defects. Find the margin of error for a 98% confidence interval for the true proportion of defective items.

Over the first $20$ days of the semester, one student is late to class on $6$ days. Construct a $98\%$ confidence interval for the true proportion of time this student is late. 

A previous study found that your school consists of $60\%$ White/Caucasian students. You want the $98\%$ confidence interval for the proportion of White/Caucasian students to be no more than $.05$ away from the true proportion. How many students must you include in a sample to create this confidence interval? 

A labor economist wants to estimate, with $90\%$ confidence, the proportion of remote workers in the workforce. The economist wants the estimate to be accurate within $4\%$ of the true population proportion. What is the minimum sample size needed for this estimate?