Question 1: A 2018 poll of 3636 randomly selected users of a social media site found that 1400 get most of their news about world events on the site. Research done in 2013 found that only 46% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013? Carry out a hypothesis test and use a 0.05 significance level. 1) State the null and alternative hypotheses. Let p be the proportion of site users who get their world news on the site. (3 pts) 2) Compute the z-test statistic. (4 pts) 3) The p-value is 0.001, please draw a sketch to illustrate it. (2 pts) 4) Reject H0 or do not reject H0 (2 pts) 5) Interpret the conclusion of your hypothesis test. (4 pts)
Added by Daniel P.
Close
Step 1
46. Alternative Hypothesis (H1): The proportion of site users who get their world news on the site is different from 0.46. ** Show more…
Show all steps
Your feedback will help us improve your experience
Qudsiya Anis and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A 2018 poll of 3627 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 46% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013? Carry out a hypothesis test and use a 0.05 significance level. b. After conducting the hypothesis test, a further question one might ask is what proportion of all of the site users get most of their news about world events on the site in 2018. Use the sample data to construct a 95% confidence interval for the population proportion. How does your confidence interval support your hypothesis test conclusion? a. State the null and alternative hypotheses. Let p be the proportion of site users who get their world news on the site. Compute the z-test statistic. Compute the p-value. Reject H0 or do not reject H0 and interpret the conclusion. The 95% confidence interval for the population proportion is
Adi S.
News on Facebook A 2018 Gallup poll of 3635 randomly selected Facebook users found that 2472 get most of their news about world events on Facebook. Research done in 2013 found that only 47% of all Facebook users reported getting their news about world events on Facebook. a. Does this sample give evidence that the proportion of Facebook users who get their world news on Facebook has changed since 2013? Carry out a hypothesis test and use a 0.05 significance level. b. After conducting the hypothesis test, a further question one might ask is what proportion of all Facebook users got most of their news about world events on Facebook in 2018. Use the sample data to construct a 90% confidence interval for the population proportion. How does your confidence interval support your hypothesis test conclusion?
Jacob F.
Twitter users and news, Part I: A poll conducted in 2013 found that 54% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.7%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context. (Please round all percentages to 2 decimal places) The 99% confidence interval is (___%, ____%). Interpret the meaning of your confidence interval: pick: 1. There is a 99% probability that the proportion of U.S. adult Twitter users who get some news on Twitter is within our confidence interval. 2. 99% of confidence intervals will contain the correct sample proportion of U.S. adult Twitter users who get some news on Twitter. 3. We are 99% confident that the true proportion of U.S. adult Twitter users who get some news on Twitter is within our confidence interval.
Robin C.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD