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. The 95% confidence interval for the true proportion of popcorn bags that contain at least 10% unpopped kernels is (0.077, 0.243). If the inspector finds that the machine is underpopping the corn more than 6% of the time, then the machine needs to be recalibrated. Based on the interval, is it reasonable to conclude that the machine needs to be recalibrated? No, because the interval of popcorn bags that contain at least 10% unpopped kernels is entirely above 0.06. Yes, because the sample proportion was greater than 0.06. Yes, because the interval of popcorn bags that contain at least 10% unpopped kernels is entirely above 0.06. No, because a different sample might give different results