On a particular airline, 65% of all passengers accept a bag of peanuts during th

Question

On a particular airline, 65% of all passengers accept a bag of peanuts during their flight. the airplanes for this airline have 180 seats, and all seats are always sold out. What does the sampling distribution of proportions look like for flights of 180 passengers, where success is defined as enjoying peanuts and failure is defined as not eating any peanuts? Sketch and label the distribution below, rounding your Standard Error to the nearest hundredth. Are 180 passengers a sufficient sample size to ensure that the Normal Model applies? Explain. Would bringing 126 bags of peanuts be sufficient on each flight? Calculate the probability that they would run out of peanuts on a randomly chosen flight, making sure to sketch, label, and shade the Standard Normal Distribution appropriately. Are cent poll found that 46 out of 115 voters said they would vote for a tax increase. Construct a 95% confidence interval for the population proportion of all voters who support the tax increase.

Explanation / Answer

6.

p = 46/115 = .4
CI at 95% is given by pcap +/- Z*sqrt(p*p'/n)
=.4+/- 1.96*sqrt(.4*.6/115)
=.31 to .49

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