Pay your taxes: According to the InternalRevenue Service, the proportion of federal tax returns for which notax was paid was =p0.326. As part of a tax audit, tax officialsdraw a simple sample of =n140 tax returns. Use Cumulative NormalDistribution Table as needed. Round your answers to at least fourdecimal places if necessary.
Part 1 of 4
(a)What is the probability that the sample proportion of taxreturns for which no tax was paid is less than 0.29?
The probability that the sampleproportion of tax returns for which no tax was paid is less than0.29 is ____ |
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Part 2 of 4
(b)What is the probability that the sample proportion of taxreturns for which no tax was paid is between 0.36 and 0.43?
The probability that the sampleproportion of tax returns for which no tax was paid is between 0.36and 0.43 is ____ | |
Part 3 of 4
(c)What is the probability that the sample proportion of taxreturns for which no tax was paid is greater than 0.32?
The probability that the sampleproportion of tax returns for which no tax was paid is greater than0.32 is ____ | |
Part 4 of 4
(d)Would it be unusual if the sample proportion of tax returnsfor which no tax was paid was less than 0.23?
It ?(Would/Would not) be unusual ifthe sample proportion of tax returns for which no tax was paid wasless than 0.23, since the probability is ____. | |