Question

A decade-old study found that the proportion, p , of high school seniors who believed that "getting rich" was an important personal goal was 75% . A researcher decides to test whether or not that percentage still stands. He finds that, among the 230 high school seniors in his random sample, 190 believe that "getting rich" is an important goal. Can he conclude, at the 0.05 level of significance, that the proportion 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 a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (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 the two critical values. (Round to three or more decimal places.) and (e) Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed? Yes No

          A decade-old study found that the proportion, 
p
, of high school seniors who believed that "getting rich" was an
important personal goal was 
75%
. A researcher decides to test whether or not that percentage
still stands. He finds that, among the 
230
 high school seniors in his random sample,  
190
 believe that "getting rich" is an important goal. Can he
conclude, at the 
0.05
 level of significance, that the proportion 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 a list of formulas.)
(a)
State the null
hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(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 the two critical
values. (Round to three or more decimal places.)
and
(e)
Can we conclude that
the proportion of high school seniors who believe that "getting
rich" is an important goal has changed?
Yes  No

Added by Tammy C.

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