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  230  high school seniors in his random sample,  155  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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic: (Round to at least three decimal places.)   The p-value: (Round to at least three decimal places.)   Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed?

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
icon
Related questions
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 
230
 high school seniors in his random sample, 
155
 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 fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The p-value:
(Round to at least three decimal places.)
 
Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed?
 
Yes
 
 
No
 
 
 
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL