In: Math
Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was =p0.326. As part of a tax audit, tax officials draw a simple sample of =n140 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary.
Part 1 of 4
(a)What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.29?
The probability that the sample proportion of tax returns for which no tax was paid is less than 0.29 is ____ |
Part 2 of 4
(b)What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.36 and 0.43?
The probability that the sample proportion of tax returns for which no tax was paid is between 0.36 and 0.43 is ____ |
Part 3 of 4
(c)What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.32?
The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.32 is ____ |
Part 4 of 4
(d)Would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.23?
It ▼(Would/Would not) be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.23, since the probability is ____. |