Studies show that 11% of U.S. adults eat fast food four to six times per week. I
ID: 3369465 • Letter: S
Question
Studies show that 11% of U.S. adults eat fast food four to six times per week. In a survey, 180 adults were asked “How many times per week do you eat fast food?”
a. Find the mean and standard deviation for the number of adults eat fast food four to six times per week in a group of 180 adults. Round your answers to the nearest tenth.
b. In the survey of 180 subjects,15 claimed that they eat fast food four to six times per week. Is this result consistent with what the study claims, or is the result unlikely to occur? Justify your response.
Explanation / Answer
Solution
n = 180 and p = 0.11
a) mean = np = 180*0.11 = 19.8
standard deviattion = npq0.5 = 180*0.11*0.890.5 = 4.2
b) claimed p = 15/180 = 0.08
z value = 15-19.8/4.2= -1.14
it;slikely tooccur