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Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86.
(a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
(b) Check the normality assumption.
(c) Try the Very Quick Rule. Does it work well here? Why, or why not?
(d) Why might this sample not be typical?
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Then explain your answer to someone who has never had course in statistics (but who is familiar with mean, standard deviation, and Z scores.)
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Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
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Determine margin of error for confidence interval in (a)?
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