An education researcher claims that at most 5​% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college​ students, 7​% 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. (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. 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. At most ______​% of working college students are employed as teachers or teaching assistants. D. ______​% of working college students are employed as teachers or teaching assistants. ​(b) Find the critical​ value(s) and identify the rejection​ region(s).         z0 = ______​___. ​(c) Find the standardized test statistic z.         z = ______​. ​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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An education researcher claims that at most 5​% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college​ students, 7​% 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.

(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.

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

D. ______​% of working college students are employed as teachers or teaching assistants.

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

        z0 = ______​___.

​(c) Find the standardized test statistic z.

        z = ______​.

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

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