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 245 high school seniors in his random sample, 160 believe that "getting ich" 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 Ho and the alternative hypothesis H₁. Ho :O H₁:0 (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.) 3 H Ix 19. ☐☐ a S ☐ OSO < Р

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 245 high school seniors in his random sample, 160 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 H and the alternative hypothesis H₁.
H:0
H₁ :0
(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.)
0
(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?
O Yes O No
Explanation
Check
OL
5
X
6
DELL
□口
D=0 OSO
X
S
00
<D
сво
р
>
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac
W
A
Transcribed Image Text:now 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 245 high school seniors in his random sample, 160 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 H and the alternative hypothesis H₁. H:0 H₁ :0 (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.) 0 (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? O Yes O No Explanation Check OL 5 X 6 DELL □口 D=0 OSO X S 00 <D сво р > 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac W A
Expert Solution
Step 1

Given that 

Sample size n =245

Favorable cases x =160

 

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What are the two critical values? Round to three or more decimal places. 

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