Pay your taxes:According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was

=

p

0.326

.As part of a tax audit, tax officials draw a simple sample of=

n

150

tax returns. UseCumulative Normal Distribution Tableas 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 than0.30

?

The probability that the sample proportion of tax returns for which no tax was paid is less than0.30

is

.

Part 2 of 4

(b)What is the probability that the sample proportion of tax returns for which no tax was paid is between0.37

and0.44

?

The probability that the sample proportion of tax returns for which no tax was paid is between0.37

and0.44

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 than0.33

?

The probability that the sample proportion of tax returns for which no tax was paid is greater than0.33

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 than0.24

?

It

(Choose one)

be unusual if the sample proportion of tax returns for which no tax was paid was less than0.24

,since the probability is

.