decade-old study found that the proportion, p , of high school seniors who believed that "getting rich" was an important personal goal was 70% . A researcher decides to test whether or not that percentage still stands. He finds that, among the 210 high school seniors in his random sample, 164 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. (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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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

70%

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

210

high school seniors in his random sample,

164

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. (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
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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