Question 11.31

31. Mall Restaurants. Based on monthly sales data, the International Council of Shopping Centers reported that the proportions of meals eaten at food establishments in shopping malls were as follows: fast food, 30%; food court, 46%; and restaurants, 24%. A survey of 100 randomly selected meals eaten at malls showed that 32 were eaten at fast-food places, 49 were eaten at food courts, and the rest were eaten at restaurants. Test whether the population proportions have changed, using level of significance

11.1.31

, , . : The random variable does not follow the distribution specified in ,, . Since none of the expected frequencies is less than 1 and none of the expected frequencies is less than 5, the conditions for performing the goodness of ft test are met. . Reject if . . Since is not , we do not reject . There is insufficient evidence that the random variable does not follow the distribution specified in .