Answered: In a survey of 200 females who…

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

In a survey of

200

females who recently completed high school,

were enrolled in college. In a survey of

140

males who recently completed high school,

were enrolled in college. At

alpha equals 0.06

can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).

(a) Identify the claim and state

Upper H 0

and

Upper H Subscript a

The claim is "the proportion of female college enrollees is

▼

greater than

less than

different than

the same as

the proportion of male college enrollees."

Let

p 1

represent the population proportion for female college enrollees and

p 2

represent the population proportion for male college enrollees. State

Upper H 0

and

Upper H Subscript a

Choose the correct answer below.

Upper H 0

p 1

equalsp 2

Upper H Subscript a

p 1

not equalsp 2

Upper H 0

p 1

not equalsp 2

Upper H Subscript a

p 1

equalsp 2

Upper H 0

p 1

greater than or equalsp 2

Upper H Subscript a

p 1

less thanp 2

Upper H 0

p 1

less thanp 2

Upper H Subscript a

p 1

greater than or equalsp 2

Upper H 0

p 1

less than or equalsp 2

Upper H Subscript a

p 1

greater thanp 2

Upper H 0

p 1

greater thanp 2

Upper H Subscript a

p 1

less than or equalsp 2

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is(are)

nothing

(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)

Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.)

zgreater than

nothing

less thanzless thannothing

zless than

nothing

zless than

nothing

and

zgreater than

nothing

zequals

nothing

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

Choose the correct answer below.

Fail to reject

Upper H 0

because the test statistic

in the rejection region.

Fail to reject

Upper H 0

because the test statistic

is not

in the rejection region.

Reject

Upper H 0

because the test statistic

is not

in the rejection region.

Reject

Upper H 0

because the test statistic

in the rejection region.

(e) Interpret the decision in the context of the original claim.

Choose the correct answer below.

At the

significance level, there is

sufficient

evidence to reject the claim.

At the

significance level, there is

insufficient

evidence to support the claim.

At the

significance level, there is

sufficient

evidence to support the claim.

At the

significance level, there is

insufficient

evidence to reject the claim.

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