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

$Ï€$

, 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 LaTeX: hat{p}

\hat{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.

Group of answer choices

Yes, the sample size was at least 20 and the sample data was not too strongly skewed.

Yes, there were at least 10 successes and 10 failures.

No, there were not at least 10 successes and 10 failures.

Flag this QuestionQuestion 46 pts

Nextus, an independent marketing company performed the same study and ended up with the same value for LaTeX: hat{p}

\hat{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.

Group of answer choices

The CI width would decrease.

The MOE (margin-of-error) would increase.

The value of the SE (standard error or standard deviation of the statistic) would decrease.

Flag this QuestionQuestion 56 pts

Assume Nextus and MeWe used the same sample size and ended up with the same value for LaTeX: hat{p}

\hat{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.

Group of answer choices

The CI width for Nextus would be larger.

The MOE (margin-of-error) for MeWe would be larger.

The MOE (margin-of-error) for MeWe and Nextus would be the same.

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.

Group of answer choices

It’s possible that LaTeX: pi = 0.151

Ï€ = 0.151

Ï€ = 0.151

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

0.090 would be considered a plausible value for LaTeX: pi

Ï€

Ï€

The null LaTeX: H_0: pi = 0.120

H_{0} : Ï€ = 0.120

H_{0} : Ï€ = 0.120

would not be rejected in a two-sided test with LaTeX: alpha = 0.01

Î± = 0.01

Î± = 0.01

LaTeX: pi

Ï€

Ï€

is definitely some value in the confidence interval.

We are 99% confident that this interval LaTeX: (0.093, 0.145)

(0.093, 0.145)

(0.093, 0.145)

contains LaTeX: pi

Ï€

Ï€

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.

Group of answer choices

The MOE (margin-of-error) would be smaller for the 90% CI compared to the 95% CI.

The 90% CI width would be larger than the 95% CI width.

The MOE (margin-of-error) would be smaller for the 99% CI compared to the 95% CI.

The 99% CI width would be larger than the 95% CI width.

Flag this QuestionQuestion 84 pts

Calculate the 2SD CI using the formula $LaTeX: hat{p} pm 2cdot sqrt{dfrac{hat{p}cdot (1-hat{p})}{n}}$

\hat{p} Â\pm 2 â‹\dots \sqrt{\frac{\hat{p} â‹\dots (1 âˆ’ \hat{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 LaTeX: alpha = 0.01

Î± = 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.

Group of answer choices

0.81

0.85

0.88

0.82

0.80

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