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.:95%
Plan: ; Random: SRS; 10%: is less than 10% of all bags of popcorn produced; Large Counts: 12 successes and 63 failures ≥ 10.:one-sample z-interval for p
Conclude: We are 99% confident that the interval from includes the true proportion of all bags of popcorn at least 10% unpopped kernels.:(0.077, 0.243)
Conclude: We are 99% confident that the interval from includes the true proportion of all bags of popcorn at least 10% unpopped kernels.:that contain