# stats questions pt 2

The social network MeWe has collected data on the proportion of users who may switch from Facebook to MeWe in the next year based on their privacy policies. After randomly selecting 1,287 active Facebook users, the researchers at MeWe calculated a 99% CI for

, the true proportion of Facebook users who may switch to MeWe in the next year to be (0.093, 0.145). Use this information to answer the following questions.

Flag this QuestionQuestion 12 pts

What was the value of



p

^

for this study? Round to 3 decimal places.

Flag this QuestionQuestion 22 pts

What was the value of MOE (margin-of-error) for this study? Round to 3 decimal places.

Flag this QuestionQuestion 36 pts

Would the researchers at MeWe be able to use the theory-based approach? In other words, were the validity conditions satisfied to use the theory-based approach? Explain clearly why or why not.

Flag this QuestionQuestion 46 pts

Nextus, an independent marketing company performed the same study and ended up with the same value for



p

^

but used a larger sample size. Which of the following statements are correct? There may be more than one or no correct answers. Hint: You will not be able to calculate the answer directly, use the comparison of the relative sample sizes.

Flag this QuestionQuestion 56 pts

Assume Nextus and MeWe used the same sample size and ended up with the same value for



p

^

. Nextus calculated a 99% CI and MeWe calculated a 95% CI. Which of the following statements are correct? There may be more than one or no correct answers.

Flag this QuestionQuestion 610 pts

Using MeWe’s 99% CI of (0.093, 0.145). select all of the following answers that are true. There may be more than one or no correct answers.

=

0.151

=

0.151

. Hint: Possible does not mean the same thing as plausible.

.

${}_{}$

H

0

:

Ï€

=

0.120

${}_{}$

H

0

:

Ï€

=

0.120

would not be rejected in a two-sided test with

=

0.01

=

0.01

.

is definitely some value in the confidence interval.

0.093

,

0.145

)

0.093

,

0.145

)

contains

.

Flag this QuestionIn 2004, the Kaiser Family Foundation commissioned an extensive survey that investigated the degree to which American youth from ages 8-18 years have access to media. One of the questions asked the random sample of 2032 youths in this age range whether or not they had a television in their bedroom. Of the total sample, 1382 said yes. Answer the following questions using this information.

Flag this QuestionQuestion 78 pts

Suppose that the researchers have calculated a 90% CI, a 99% CI and a 95% CI for the true proportion of youth aged 8-18 years of age who have a television in their room. Which of the following statements would be true? Circle all that apply. There may be one, more than one, or no correct answers. You do not need to calculate anything.

Flag this QuestionQuestion 84 pts

Calculate the 2SD CI using the formula



p

^

Â±

2

â‹…

p

^

â‹…

(

1

âˆ’

p

^

)

n

.

Do not round any values until the final answer. Round final answer to 3 decimal places.

Enter CI: ( , )

Flag this QuestionQuestion 910 pts

Suppose that in 2014 the Kaiser Family Foundation repeated this study and calculated a 99% theory-based CI of (0.813,0.865). If they had conducted a series of two-sided hypothesis tests using

=

0.01

, which of the following null values would have been rejected? Choose all that would be rejected. There may be none, one, or more than one correct answer.