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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 220 high school seniors in his random sample, 135 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 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. a. State the null hypothesis H0 and the alternative hypothesis H1. b.Determine the type of test statistic to use c. Find the value of the test statistic. Round to three or more decimals. d. Find the p-value (round th three decimal places) e. Can we conclude that the proportion of high school seniors who believe, that "getting rich" is an important goal has changed?

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 220 high school seniors in his random sample, 135 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 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. a. State the null hypothesis H0 and the alternative hypothesis H1. b.Determine the type of test statistic to use c. Find the value of the test statistic. Round to three or more decimals. d. Find the p-value (round th three decimal places) e. Can we conclude that the proportion of high school seniors who believe, that "getting rich" is an important goal has changed?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 220 high school seniors in his random sample, 135 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 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.

a. State the null hypothesis H0 and the alternative hypothesis H1.

b.Determine the type of test statistic to use

c. Find the value of the test statistic. Round to three or more decimals.

d. Find the p-value (round th three decimal places)

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

Expert Solution
Step 1: Information given is

sample size(n)=220

x=135

significance level(straight alpha)=0.01

sample proportion(straight p with hat on top)=straight x over straight n equals 135 over 220 equals 0.6136363636

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