ne survey showed that among766 randomly selected subjects who completed four years of college, 18.3% smoke and 81.7% do not smoke. Use a 0.01 significance level to test the claim that the rate of smoking among those with four years of college is less than the 27% rate for the general population.a. Define the parameter A.p = The proportion of all people who completed four years of college and don't smoke B.p = The proportion of all people who completed four years of college and smoke C.mu = The proportion of all people who completed four years of college and smoke D.mu = The mean number of people who completed four years of college and smoke b. State the null and alternative hypotheses A.Upper H 0 : p equals 0.183 Upper H 1 : p less than 0.183 B.Upper H 0 : mu not equals 0.27 Upper H 1 : mu equals 0.27 C.Upper H 0 : p greater than 0.27 Upper H 1 : p equals 0.27 D.Upper H 0 : p equals 0.27 Upper H 1 : p less than 0.27 c. Calculate the test statistic z. Which of these options is closest to z? A.negative 7.06 B.negative 5.42 C.negative 3.99 D.negative 4.45 d. Calculate the P-value. Which of these options is closest to the P-value? A.0.0005 B.0.9999 C.0.5000 D.0.0001 e. State the technical conclusion. A.Do not reject Upper H 0 B.Reject Upper H 0 f. State the final conclusion. A.The sample data support the claim. B.There is sufficient evidence to warrant rejection of the claim. C.There is not sufficient evidence to warrant rejection of the claim. D.There is not sufficient sample evidence to support the claim. g. Based on the results, does it appear that those who completed four years of college smoke at a lower rate than the general population? A.No B.Yes

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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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ne survey showed that among

766

randomly selected subjects who completed four years of college, 18.3% smoke and 81.7% do not smoke. Use a 0.01 significance level to test the claim that the rate of smoking among those with four years of college is less than the 27% rate for the general population.

a. Define the parameter

p = The proportion of all people who completed four years of college and don't smoke

p = The proportion of all people who completed four years of college and smoke

= The proportion of all people who completed four years of college and smoke

= The mean number of people who completed four years of college and smoke

b. State the null and alternative hypotheses

Upper H 0 : p equals 0.183 Upper H 1 : p less than 0.183

Upper H 0 : mu not equals 0.27 Upper H 1 : mu equals 0.27

Upper H 0 : p greater than 0.27 Upper H 1 : p equals 0.27

Upper H 0 : p equals 0.27 Upper H 1 : p less than 0.27

c. Calculate the test statistic z. Which of these options is closest to z?

negative 7.06

negative 5.42

negative 3.99

negative 4.45

d. Calculate the P-value. Which of these options is closest to the P-value?

0.0005

0.9999

0.5000

0.0001

e. State the technical conclusion.

Do not reject Upper H 0

Reject Upper H 0

f. State the final conclusion.

The sample data support the claim.

There is sufficient evidence to warrant rejection of the claim.

There is not sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

g. Based on the results, does it appear that those who completed four years of college smoke at a lower rate than the general population?

Yes

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