Does the maker of M&Ms® (Mars, Inc.) use the same proportion of red candies in its plain and peanut varieties? A random sample of 51 plain M&Ms contained 11 red candies, and another random sample of 30 peanut M&Ms contained 6 red candies. (Use p1 for the proportion of red candies in plain M&Ms and p2 for the proportion of red candies in peanut M&Ms.)
(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.)
Refer Standard normal table/Z-table or use excel function "=NORM.S.INV((1-0.025))" to find the Z-value.
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