Previously, 10.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 75 workers and finds that 17 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the α=0.1 level of significance. What are the null and alternative hypotheses? H0: ▼ pp muμ alphaα ▼ greater than> less than< not equals≠ equals= nothing versus H1: ▼ pp muμ alphaα ▼ not equals≠ less than< greater than> equals= nothing (Type integers or decimals. Do not round.) Because np01−p0=nothing ▼ equals= not equals≠ less than< greater than> 10, the normal model ▼ may not may be used to approximate the P-value. (Round to one decimal place as needed.) Find the P-value. P-value=nothing (Round to three decimal places as needed.) Is there sufficient evidence to support the economist's belief? A. Yes, reject the null hypothesis. There is sufficient evidence because the P-value is less than α. B. No, reject the null hypothesis. There is not sufficient evidence because the P-value is less than α. C. Yes, do not reject the null hypothesis. There is sufficient evidence because the P-value is greater than α. D. No, do not reject the null hypothesis. There is not sufficient evidence because the P-value is greater than α.

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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Previously,

10.4%

of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects

workers and finds that

of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the

α=0.1

level of significance.

What are the null and alternative hypotheses?

H0:

▼

muμ

alphaα

▼

greater than>

less than<

not equals≠

equals=

nothing

versus

H1:

▼

muμ

alphaα

▼

not equals≠

less than<

greater than>

equals=

nothing

(Type integers or decimals. Do not round.)

Because

np01−p0=nothing

▼

equals=

not equals≠

less than<

greater than>

10,

the normal model

▼

may not

may

be used to approximate the P-value.

(Round to one decimal place as needed.)

Find the P-value.

P-value=nothing

(Round to three decimal places as needed.)

Is there sufficient evidence to support the economist's belief?

Yes,

reject

the null hypothesis. There

sufficient evidence because the P-value is

less

than

α.

No,

reject

the null hypothesis. There

is not

sufficient evidence because the P-value is

less

than

α.

Yes,

do not reject

the null hypothesis. There

sufficient evidence because the P-value is

greater

than

α.

No,

do not reject

the null hypothesis. There

is not

sufficient evidence because the P-value is

greater

than

α.

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