1. The estimated proportion of Hispanics that are Mexican Americans is 63% Based on a recent study of sample 850 Hispanic grocery shoppers from around the United States and 575 are Mexican American. Does this result provide enough evidence to conclude that the estimated proportion of Hispanic grocery shoppers now are Mexican Americans?
2. What proportion of Hispanics listen primarily to advertisements in Spanish? Suppose one source says that in the past the proportion has been about .83. We want to test to determine whether this figure is true. A random sample of 438 Hispanics is selected, and the Minitab results of testing this hypothesis are shown here. Discuss and explain this output and the implications of this study using a=.05 Test of p = .83 vs p not = .83 Sample=1 x=347 n=438 sample p=.792237 95%CI= (.751184, .829290) Exact P-Value=.042
3.What is the average age of a purchaser of Doritos Salsa Verde? Suppose initial tests indicate that the mean age is 31. Is this figure really correct? To test whether it is, a researcher randomly contacts 24 purchasers of Doritos Salsa Verde with results shown in the following Excel output. Discuss the output in terms of a hypothesis test to determine whether the mean age is actually 31. Let alpha=.01. Assume that ages of purchasers are normally distributed in the population.
Mean=28.81
Variance= 50.2651
Observations= 24
df= 23
t Stat= -1.52
P(T<=a one tail= .0716
t Critical one tail= 2.50
P(T(doesnt = ) two tail = .1431
t Critical two tail= 2.81