Question
In: Statistics and Probability
Does Mars, Incorporated use the same proportion of red candies in its plain and peanut varieties?...
Does Mars, Incorporated use the same proportion of red candies in its plain and peanut varieties? A random sample of 60 plain M&M'S contained 15 red candies, and another random sample of 38 peanut M&M'S contained 9 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
(p1 − p2).
(Round your answers to three decimal places.)
_______ to ________
Solutions
Expert Solution
Solution :
Given that,
= x1 / n1 = 15 / 60 = 0.25
1-
= 0.75
= x2 / n2 = 9 / 38 = 0.237
1 -
= 0.763
At 95% confidence level the z is ,
Z
/2
= 1.96
95% confidence interval for p1 - p2 is
,
(
-
) 
Z/2 *
[(1-
) / n1 +
(1 -
) / n2]
(0.25 - 0.237)
*
[(0.25 * 0.75) / 60 + (0.237 * 0.763) / 38]
-0.161 < p1 - p2 < 0.187
-0.161 to 0.187
orchestra answered 2 years agoRelated Solutions
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