Probability that poll gets sample in which not enough time


Suppose that 47% of all adult women think they do not get enough time for themselves. An opinion poll interviews 1925 randomly chosen women and records the sample proportion who feel they don't get enough time for themselves.

A) Describe the sampling distribution of P(hat)

B) The truth about the population is p=.47. In what range will the middle 95% of all sample results fall?

C) What is the probability that the poll gets a sample in which fewer than 45% say they do not get enough time for themselves. Show your method.

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Basic Statistics: Probability that poll gets sample in which not enough time
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