1. Recently, a large academic medical center determined that 15 of 24 employees in a particular position were male, whereas 43% of the employees for this position in the general workforce were

male. At the 0.05 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce?

Calculate the test statistic.

ZSTAT=____

(Type an integer or a decimal. Round to two decimal places as needed.)

What is the p-value?

The p-value is ____

2. A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,750

bus miles and a sample standard deviation of 225 bus miles. Complete parts (a) and (b) below.

a. Find the test statistic for this hypothesis test.

tSTAT=____

(Round to two decimal places as needed.)

The critical value(s) for the test statistic is(are) ____

is there sufficient evidence to reject the null hypothesis using =0.10?

A.Donotreject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,700 bus miles.

B. Donotreject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,700 bus miles.

C. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,700 bus miles.

D. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,700 bus miles.

b. Determine the p-value and interpret its meaning.

The p-value is ______

What does this p-value mean given the results of part (a)?

A. The p-value is the probability that the actual mean is 3,750 bus miles or less.

B. The p-value is the probability that the actual mean is 3,700 bus miles or greater given the sample mean is 3,750 bus miles.

C. The p-value is the probability that the actual mean is greater than 3,750 bus miles.

D. The p-value is the probability of getting a sample mean of 3,750 bus miles or greater if the actual mean is 3,700 bus miles.