2. M&M’s are delicious. “They melt in your mouth, not inyour hand.†According to the M&M’s company, their most popularcolor is blue.
(a) You open regular pack of M&M’s find that 14 of the 80candies are red. Construct and interpret a 95% confidence intervalfor the proportion of red M$M’s candies.
(b) N&N’s is another candy company selling candy coatedchocolates. Their slogan is “They melt where it’s warm, so put themin your mouth.†They are being sued by M$M’s for copyrightinfringement. In their defense, the N$N’s company claims that theirproportion of blue candies is much larger than 24% (the proportionfor blue M$M’s). As an expert witness, you pick a random sample ofN&N’s candies and found 71 out of 240 were blue. Does thisprovide statistically significant evidence for N&N’s claim?
