Question

I

In a recent​ survey,

4545​%

of employed U.S. adults reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a​ 4-year college thinks this percentage has increased due to increased use of technology in the workplace. She takes a random sample of

200200

employed adults and finds that

110110

of them feel that basic mathematical skills are critical or very important to their job. Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the

alpha equals 0.1α=0.1

level of​ significance?

What are the null and alternative​ hypotheses?

Upper H 0H0​:

p

▼

equals=

not equals≠

less than<

greater than>

nothing versus

Upper H 1H1​:

p

▼

not equals≠

equals=

less than<

greater than>

nothing

Determine the test statistic.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)

Determine the​ P-value.

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

Choose the correct conclusion below.

A.

RejectReject

the null hypothesis. There

is sufficientis sufficient

evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased.

B.

Do not rejectDo not reject

the null hypothesis. There

is insuffcientis insuffcient

evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased.

C.

RejectReject

the null hypothesis. There

is insuffcientis insuffcient

evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased.

D.

Do not rejectDo not reject

the null hypothesis. There

is sufficientis sufficient

evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased.

Answer 1

The sample proportion, = 110/200 = 0.55

____________________________

The Hypothesis:

H0: p = 0.45

Ha: p > :0.45

__________________________________

The Test Statistic:

____________________________

The p Value:    The p value (Right tail) for Z = 2.84, is; p value = 0.002

_____________________________

Since p value is < (0.1)

Option A: reject H0. There is sufficient evidence to conclude that the number of employed adults who feel basic mathematical skills are critical or very important to their job has increased.

___________________________