Answered: A decade old study found that the…

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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Question

A decade old study found that the proportion, p, of high school seniors who believed that "getting rich" was a important personal goal was 80%. 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, 192 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, and complete the parts below.

(a) State the null hypothesis H, and the alternative hypothesis H,.
H,: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.)
(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 belteve that
"getting rich" is an important goal has changed?
OYes ONo

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