A decade-old study found that theproportion,p

, of high school seniors who believed that "getting rich" was an important personal goal was70

%

. A researcher decides to test whether or not that percentage still stands. He finds that, among the250

high school seniors in his random sample,194

believe that "getting rich" is an important goal. Can he conclude, at the0.05

level of significance, that theproportion has indeed changed?

Perform a two-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult alist of formulas.)

(a)State the null hypothesisH

0

and the alternative hypothesisH

1

.H

0

:

H

1

:

(b)Determine the type of test statistic to use.

(Choose one)

(c)Find the value of the test statistic. (Round to three or more decimal places.)

(d)Find thep-value. (Round to three or more decimal places.)

(e)Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed?YesNo