Question

Does Mars, Incorporated use the same proportion of red candies in its plain and peanut varieties? A random sample of 51 plain MaM'S Contained 10 red candies, and another random sample of 32 peanut M8M'S contained 7 red candies. (Use p1 for the proportion of red candies in plain M&M'S and p2 for the proportion of red candies in peanut M&M'S.) (a) Construct a 95% confidence interval for the difference in the proportions of red candies for the plain and peanut varieties (Pi-p2). (Round your answers to three decimal places.) to (b) Based on the confidence interval in part (a), can you conclude that there is a difference in the proportions of red candies for the plain and peanut varieties? Explain Since the value p1-p2-0 is in the confidence interval, it is possible that ρι = p2, we should conclude that there is a difference in the proportion of red candies in plain and peanut M&M'S. Since the value p P20 is not in the confidence interval, it is possible that p1 P2 We should conclude that there is a difference in the proportion of red candies in plain and peanut M&M'S Since the value pi-p2-0 is not in the confidence interval, it is possible that p1 = p2. We should not conclude that there is a difference in the proportion of red candies in plain and peanut M&M'S. Since the value p 1-p2-0 is in the confidence interval, t is possible that p1 = p2. We should not conclude that there is a difference in the proportion of red candies in plain and peanut M&M'S. You may need to use the appropriate appendix table or technology to answer this question Need Help?Read Iit Talk to a Tutor

Answer 1

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2Here we have -t 3 2 2-0.02.2 ± 0.13,0 M4 Ms