A researcher wanted to compare the percentages of men and women who play the lottery.  They randomly sampled 300 women and found that 66 of them play the lottery.  In a random sample of 500 men, they found that 160 of them play the lottery.  Construct a 90% confidence interval for the difference in the percentage of women and men who play the lottery. Find the point estimate. Find the margin of error. Interpret the confidence interval in terms of this problem.

Construct a 90% confidence interval

In a survey of 2013 adults in a recent​ year, 731 made a New​ Year's resolution to eat healthier.   Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

A marketing study by Ford Motor Company finds that 320 of the 650 buyers of compact cars were women. Construct the 90% confidence interval for the proportion of all compact car buyers who are women, and explain what it means.

Construct the Confidence Interval for the proportion.In a survey of 2480 golfers, 372 said they were left-handed. Construct a 92% confidence interval for the proportion of left-handed golfers from this sample.

Find the margin of error for the​ 99% confidence interval used to estimate the population proportion. In a clinical test with 1200 subjects, 35​% showed improvement from the treatment.

You want to determine if the proportion of people who will vote for the president next year has increased due to current events. You take a simple random sample of 1100 individuals and find that 897 of them said that they will be voting in the election. Construct a 95% confidence interval, by hand (mean using the equations in the section). Show your work. And then write the conclusion to the confidence interval (follow the examples in the modules) in a complete sentence.

Some students think that a 90% confidence interval contains 90% of the data. Use the list of data on the first page and count how many of the data values lie within the confidence interval. What percent is this? Is this percent close to 90%? Explain why this percent should or should not be close to 90%.

A recent survey conducted in a nearby town showed that 791 out of 1,495 people do most of their holiday shopping online. Find the lower bound of the 90% confidence interval for the true proportion of people that do most of their holiday shopping online. Write your answer to three decimal places.

In a sample of 480 adults, 384 had children. Construct a 99% confidence interval for the true population proportion of adults with children. Give your answers as decimals, to three places