Question Help ​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...











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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
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.










Jun 03, 2022
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