Answered: Conduct a test at 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

Conduct a test at the

alphaαequals=0.010.01

level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling.

Test whether

p 1 greater than p 2p1>p2.

The sample data are

x 1 equals 128x1=128,

n 1 equals 247n1=247,

x 2 equals 140x2=140,

and

n 2 equals 311n2=311.

(a) Choose the correct null and alternative hypotheses below.

Upper H 0 : p 1 equals p 2H0: p1=p2

versus Upper H 1 : p 1 less than p 2H1: p1<p2

Upper H 0 : p 1 equals 0H0: p1=0

versus Upper H 1 : p 1 not equals 0H1: p1≠0

Upper H 0 : p 1 equals p 2H0: p1=p2

versus Upper H 1 : p 1 greater than p 2H1: p1>p2

Upper H 0 : p 1 equals p 2H0: p1=p2

versus Upper H 1 : p 1 not equals p 2H1: p1≠p2

(b) Determine the test statistic.

z0equals=nothing

(Round to two decimal places as needed.)

The P-value is

nothing .

(Round to three decimal places as needed.)

What is the result of this hypothesis test?

Do not rejectDo not reject

the null hypothesis because there

is notis not

sufficient evidence to conclude that

p 1 less than p 2p1<p2.

RejectReject

the null hypothesis because there

isis

sufficient evidence to conclude that

p 1 less than p 2p1<p2.

Do not reject the

nullnull

hypothesis because there

is notis not

sufficient evidence to conclude that

p 1 not equals p 2p1≠p2.

Do not rejectDo not reject

the null hypothesis because there

is notis not

sufficient evidence to conclude that

p 1 greater than p 2p1>p2.

Less

Click to select your answer(s).

SCORE:0REMAINING:10/10

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