Question

A news poll found that

7272​%

of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of

400400

college students at a certain university was taken and

304304

were concerned about the possibility that their personal records could be stolen over the​ Internet, could a researcher conclude at the

0.0250.025

level of significance that a higher proportion of the​ university's college students are concerned about Internet theft than the public at​ large?

Determine the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes within your choice.

​(Type integers or​ decimals.)

A.

Upper H 0H0​:

pgreater than or equals≥nothing

Upper H Subscript Upper AHA​:

pless than<nothing

B.

Upper H 0H0​:

pequals=nothing

Upper H Subscript Upper AHA​:

pnot equals≠nothing

C.

Upper H 0H0​:

pless than or equals≤nothing

Upper H Subscript Upper AHA​:

pgreater than>nothing

Check the requirement for a hypothesis test for a proportion.

In this​ situation,

npequals=nothing

is

▼

equal to

greater than

less than

5 and

​n(1minus−​p)equals=nothing

is

▼

less than

equal to

greater than

5.​ Thus, the requirement

▼

is not

is

satisfied.

​(Type integers or​ decimals.)

What is the test​ statistic?

zequals=nothing

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

What is the​ p-value?

​p-valueequals=nothing

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

What is the proper​ conclusion?

▼

Do not reject

Reject

Upper H 0H0.

There is

▼

sufficient

insufficient

evidence that a higher proportion of the​ university's college students are concerned about Internet theft than the public at large

Answer 1

Claim under test : a higher proportion of the​ university's college students are concerned about Internet theft than the public at​ large

Significance level :

point estimate of proportion:

Test statistic :

P value for right tailed test = 0.0374

Since the p value is greater than the significance level 0.025, we fail to reject the null hypothesis. We have no evidence to support the claim that a higher proportion of the​ university's college students are concerned about Internet theft than the public at​ large.