Question
In: Math
Let p be the (unknown) proportion of males in a town of 100, 000 residents. A...
Let p be the (unknown) proportion of males in a town of 100, 000 residents. A political scientist takes a simple random sample of 100 residents from this town.
(a) Write down the exact pmf, as well as an approximate pmf, for the number of males in the sample. (They should both depend on p).
(b) If the number of males in the sample is 55 or more, the political scientist will claim that there are more males than females in the town. If the number of males in the sample is less than 55, he/she will claim that the number of males in the town is smaller or equal to that of females. What is approximately the probability that his/her claim will be correct if the true proportion of males in the town, p, is 50%? What if p = 55%?
(c) Report an approximate 68% confidence interval for p if 65 of the 100 residents in the sample are male.
Solutions
milcah answered 1 year agoRelated Solutions
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1. A small town has 5600 residents. The residents in the town were asked whether or...
1. A small town has 5600 residents. The residents in the town
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the river. You are given the following information on the
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Men
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Total
In
Favor
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Opposed
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3920
Total
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1. A small town has 5600 residents. The residents in the town were asked whether or...
1. A small town has 5600 residents. The residents in the town
were asked whether or not they favored building a new bridge across
the river. You are given the following information on the
residents' responses, broken down by gender: Men Women Total In
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