Question 217066: 8.64 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.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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sample proportion: 86/773 = 0.11
standard error: E= 1.645*sqrt[0.11*0.89/773]=0.021..
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90 CI: 0.11-0.021 < p < 0.11+0.021
90 CI: 0.089 < p < 0.131
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Cheers,
Stan H.
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