Several students are working together to estimate the true proportion of M Ms among all milk chocolate M Ms The students purchase many packs of M Ms and counted 64 red M Ms among a total of 525 M Ms The students will consider their sample to be a random sample from all plain variety M Ms a Construct and interpret a 90 confidence interval for the true proportion of red M Ms among all milk chocolate M Ms b The students claim that the true proportion of red M Ms is different from 10 Does the interval in part a suggest that this claim is plausible Explain your reasoning c One of the students admits to eating 10 M Ms before they were counted She recalls there were exactly 4 red M M among the 10 M Ms she ate Could this new information change the answer to part b Support your answer with a calculation