Answered: According to a recent report (based on…

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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Part 1

Let π be the population proportion. Determine the null hypothesis, H0, and the alternative hypothesis, H1.
(Type integers or decimals. Do not round.)

A. H0 : μ = 0.47; H1 : μ ≠ 0.47 , because μ is always used in hypothesis testing

B. H0 : π = 0.47; H1 : π ≠ 0.47, because the two hypotheses always use a known or likely to be true value for the population proportion

C. H0 : π = 0.59; H1 : π ≠ 0.59, since we are trying to prove the sample proportion of 59100= 0.59

is really true

D. H0 : π ≠ 0.47; H1 : π = 0.47, since H0must never have an equal symbol

What is the test statistic? (Round to two decimal places to the right of the decimal point as needed.)

A. ZSTAT =(0.47 − 0.59)(0.59)•(1−0.59)100 = −2.44, using formula (9.3)

B. tSTAT =(0.59 − 0.47)0.47100 = +2.55, using formula (9.2) since the sample standard deviation is not known

C. ZSTAT =(0.59 − 0.47)(0.47)•(1−0.47)100 = +2.40, using formula (9.3)

D. ZSTAT =(0.59 − 0.47)(0.59)•(1−0.47)100 = +2.15, using formula (9.3)

What is the p-value? (Round to three decimal places to the right of the decimal point as needed.)

A. p-value = NORM.S.DIST(2.40,1) = 0.992

B. p-value = 2*(1-NORM.S.DIST(2.40,1) = 0.016

C. p-value = 2*NORM.S.DIST(2.40,1) = 1.984

D. p-value = 1-NORM.S.DIST(2.40,1)

What is the final conclusion?

A. Do not reject the null hypothesis. There is sufficient evidence that the proportion of college interns that had unpaid interships is different from 0.47 because the p-value is less than level of significance.

B. Do not reject the null hypothesis. There is not enough evidence that the proportion of college interns that had unpaid interships is different from 0.47 because the p-value is greater than level of significance.

C. Reject the null hypothesis. There is sufficient evidence that the proportion of college interns that had unpaid interships is different from 0.47 because the p-value is less than level of significance.

D. Reject the null hypothesis. There is enough evidence to show that the proportion of college interns that had unpaid interships is different from 0.47 because the p-value is greater than level of significance.

Expert Solution