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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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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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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