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6.16 Is college worth it? Part I: Among a simple random sample of 331 American a

ID: 3311100 • Letter: 6

Question

6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 159 of them said they decided not to go to college because they could not afford school.
USE THE TI CALCULATOR!

(a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.
The hypotheses for this test are:

A)Ho: p = .5
Ha: p > .5

B)Ho: p = .5
Ha: p .5

C)Ho: p = .5
Ha: p < .5

I know its not B. I need the answer.

A)Since p< we reject the null hypothesis and accept the alternative

B)Since p we reject the null hypothesis and accept the alternative

C)Since p we do not have enough evidence to reject the null hypothesis

D)Since p we accept the null hypothesis

E)Since p< we fail to reject the null hypothesis

Its not E.I need the answer.

Also,

6.15 Browsing on the mobile device: A 2012 survey of 2,254 American adults indicates that 17% of cell phone owners do their browsing on their phone rather than a computer or other device.
USE THE TI CALCULATOR!
[Note: the "17%" value means that 383 of the people surveyed (17% of 2254) said they do their browsing on their phone rather than a computer or other device.]

A)95% of Americans use their cell phone to access the internet

B)We can be 95% confident that our confidence interval contains the sample proportion of Americans who use their cell phones to access the internet

C)We can be 95% confident that the proportion of Americans who use their cell phones to access the internet is contained within our confidence interval

The answer is not A.

Explanation / Answer

6.16: Since p we do not have enough evidence to reject the null hypothesis

Option C is correct.

6.15: We can be 95% confident that the proportion of Americans who use their cell phones to access the internet is contained within our confidence interval

Option C is correct.