A marketing research group takes a random sample of 60 young adults (ages 18-29) and shows them 3 different television advertisements (A, B, C) for the same product. Each participant is asked which of the three advertisements they believe is most effective. The results show that 16 participants selected ad A, 30 participants selected ad B, and the remaining 14 participants selected ad C.
What is the test statistic, p-value AND
does the data provide significant evidence that equal proportions of young adults believe each advertisement to be most effective (P < 0.05) or does the data provide significant evidence that the proportions of young adults who believe each advertisement to be most effective are not all equal (P < 0.05).
What is the test statistic, p-value AND
does the data provide significant evidence that equal proportions of young adults believe each advertisement to be most effective (P < 0.05) or does the data provide significant evidence that the proportions of young adults who believe each advertisement to be most effective are not all equal (P < 0.05).
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OK, the random sample is assumed to be normally distributed. A has a fraction of 0.27, B has a fraction of 0.50 and C has a fraction of 0.23. The xbar of this sample is the sum/3 = 0.33333.
Now, you've not provided enough information to generate a test statistic since the population parameters are unknown. However, I'd say, based on the information you've provided that B is
most effective at the 0.05 level.
Now, you've not provided enough information to generate a test statistic since the population parameters are unknown. However, I'd say, based on the information you've provided that B is
most effective at the 0.05 level.