An education researcher claims that at most 8%of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 9% are employed as teachers or teaching assistants. At α=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on whichever answer is correct!!! A. The percentage of working college students who are employed as teachers or teaching assistants is not %. B. More than %of working college students are employed as teachers or teaching assistants. C. % of working college students are employed as teachers or teaching assistants. D. At most %of working college students are employed as teachers or teaching assistants. (b) Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) fill the fill box which ever one is correct!!! A. H0:p≠Fill Ha:p=Fill B. H0:p≥Fill Ha:pFill D. H0:pfill Ha:p≤fill F. H0:p=fill Ha:p≠fill (c) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0= (Round to two decimal places as needed. Use a comma to separate answers as needed.

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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An education researcher claims that at most 8%of working college students are employed as teachers or teaching assistants. In a random sample of

400 working college students, 9% are employed as teachers or teaching assistants. At α=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.

(a) Identify the claim and state H0 and Ha.

Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

Fill the percentage on whichever answer is correct!!!

The percentage of working college students who are employed as teachers or teaching assistants is not %.

More than %of working college students are employed as teachers or teaching assistants.

C. % of working college students are employed as teachers or teaching assistants.

At most %of working college students are employed as teachers or teaching assistants.

(b)

Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. State

H0 and Ha.

Select the correct choice below and fill in the answer boxes to complete your choice.

(Round to two decimal places as needed.)

fill the fill box which ever one is correct!!!

H0:p≠Fill

Ha:p=Fill

H0:p≥Fill

Ha:p<Fill

H0:p≤Fill

Ha:p>Fill

H0:p<Fill

Ha:p≥fill

H0:p>fill

Ha:p≤fill

H0:p=fill

Ha:p≠fill

Identify the critical value(s) for this test.

z₀=

(Round to two decimal places as needed. Use a comma to separate answers as needed.

(d)

Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.

(Round to two decimal places as needed.)

Fill the fill box whichever is correct!!!

The rejection region is z>fill.

The rejection regions are z<filland z>Fill.

The rejection region is z<fill.

The rejection region is fill<z<fill.

(e) Find the standardized test statistic z.

(Round to two decimal places as needed.)

(f) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.

▼

a.Fail to reject

b.Reject

the null hypothesis. There

▼

a.is not

b.is

enough evidence to

▼

a.reject

b.support

the researcher's claim.

choose a or b to complete sentence

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