Estimating a Population Proportion Answers

Is it reasonable to conclude that more than half of US adults use their cell phones to play online games?

Is it reasonable to conclude that more than two-thirds of the seniors at Christian’s school plan to attend the prom?

Based on the interval, is it reasonable to conclude that a majority of teens aged 13–17 have their own desktop or laptop computer?

Based on the interval, is it reasonable to conclude that the machine needs to be recalibrated?

A small pilot study estimated that 34% of Americans do not like the taste of cilantro. How large would the random sample need to be to obtain a margin of error of at most 0.03 with 95%?

An inspector at a popcorn factory selects a random sample of 75 bags of popcorn from the hundreds produced each hour and finds that 12 contain at least 10% unpopped kernels. Construct and interpret a 95% confidence interval for the true proportion of popcorn bags that contain at least 10% unpopped kernels. State: confidence interval for the true proportion of popcorn bags that contain at least 10% unpopped kernels. Plan: ; Random: SRS; 10%: is less than 10% of all bags of popcorn produced; Large Counts: 12 successes and 63 failures ≥ 10. Do: Conclude: We are 99% confident that the interval from includes the true proportion of all bags of popcorn at least 10% unpopped kernels.