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An education researcher claims that at most 6​% of working college students are employed as teachers or teaching assistants. In a random sample of 200 working college​ students, 8​% are employed as teachers or teaching assistants. At α=0.05​, is there enough evidence to reject the​ researcher's claim? Complete parts​ (a) through​ (e) below.

An education researcher claims that at most 6​% of working college students are employed as teachers or teaching assistants. In a random sample of 200 working college​ students, 8​% are employed as teachers or teaching assistants. At α=0.05​, is there enough evidence to reject the​ researcher's claim? Complete parts​ (a) through​ (e) below.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An education researcher claims that at most
6​%
of working college students are employed as teachers or teaching assistants. In a random sample of
200
working college​ students,
8​%
are employed as teachers or teaching assistants. At
α=0.05​,
is there enough evidence to reject the​ researcher's claim? Complete parts​ (a) through​ (e) below.
An education researcher claims that at most 6% of working college students are employed as teachers or teaching assistants. In a random sample of 200 working college students, 8% are employed as teachers or teaching assistants. At a = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho 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.) O A. % of working college students are employed as teachers or teaching assistants. O B. The percentage of working college students who are employed as teachers or teaching assistants is not O C. At most % of working college students are employed as teachers or teaching assistants. O D. More than % of working college students are employed as teachers or teaching assistants. 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 H, and Hạ. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: pz О В. Но: р- O C. Ho: p< H3i p< Hai p= O D. Ho:p= O E. Ho: p> OF. Ho: ps Ha:p = Hạ: ps Hại p> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo (Round to two decimal places as needed. Use a comma to separate answers as needed.) 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.) O A. The rejection region is O B. The rejection regions are z< and z> OC. The rejection region is z< O D. The rejection region is z> (c) Find the standardized test statistic z. %3= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. V the null hypothesis. There enough evidence to v the researcher's claim.
Transcribed Image Text:An education researcher claims that at most 6% of working college students are employed as teachers or teaching assistants. In a random sample of 200 working college students, 8% are employed as teachers or teaching assistants. At a = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho 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.) O A. % of working college students are employed as teachers or teaching assistants. O B. The percentage of working college students who are employed as teachers or teaching assistants is not O C. At most % of working college students are employed as teachers or teaching assistants. O D. More than % of working college students are employed as teachers or teaching assistants. 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 H, and Hạ. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: pz О В. Но: р- O C. Ho: p< H3i p< Hai p= O D. Ho:p= O E. Ho: p> OF. Ho: ps Ha:p = Hạ: ps Hại p> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo (Round to two decimal places as needed. Use a comma to separate answers as needed.) 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.) O A. The rejection region is O B. The rejection regions are z< and z> OC. The rejection region is z< O D. The rejection region is z> (c) Find the standardized test statistic z. %3= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. V the null hypothesis. There enough evidence to v the researcher's claim.
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