a recent report stated that over half of food delivery drivers eat some of the food they are delivering. a…

a recent report stated that over half of food delivery drivers eat some of the food they are delivering. a 95% confidence interval for the true proportion of food delivery drivers who eat some of the food they are delivering is (0.398, 0.706). is it reasonable to believe more than half of food delivery drivers eat some of the food they are delivering?\nyes, because the majority of the interval is greater than 0.50.\nyes, because the center of the interval is 0.552, which is greater than 0.50.\nno, because 0.50 is in the interval.\nno, because there are values less than 0.50 in the interval.

a recent report stated that over half of food delivery drivers eat some of the food they are delivering. a 95% confidence interval for the true proportion of food delivery drivers who eat some of the food they are delivering is (0.398, 0.706). is it reasonable to believe more than half of food delivery drivers eat some of the food they are delivering?\nyes, because the majority of the interval is greater than 0.50.\nyes, because the center of the interval is 0.552, which is greater than 0.50.\nno, because 0.50 is in the interval.\nno, because there are values less than 0.50 in the interval.

Answer

Brief Explanations:

A confidence interval gives a range of plausible values for the true population proportion. If (0.50) (which represents half) is within the confidence interval ((0.398,0.706)), we cannot be confident that the true proportion is greater than (0.50). Just because the center or some values in the interval are greater than (0.50) does not mean we can conclude the proportion is more than half. The presence of values less than (0.50) in the interval also does not directly address the key point (the inclusion of (0.50) itself). The fact that (0.50) is in the interval means that (0.50) is a plausible value for the true proportion.

Answer:

No, because (0.50) is in the interval.