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 an important personal goal was 70%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 235 high school seniors in his random sample, 144 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 and round your answers as specified in the table.

a)	State the null hypothesis H0? and the alternative hypothesis H1? .
H0:?
H1:?
(b)	Determine the type of test statistic to use.
	▼(Choose one) z ? t ? chi square? f ?
(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 or No?

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