Question 3On June 28, 2012 the U.S. Supreme Court upheld the much debated 2010 healthcare law, declaring itconstitutional. A Gallup poll released the day after this decision indicates that 46% of 1,012 Americansagree with this decision. At a 95% confidence level, this sample has a 3% margin of error.(b) How would you formulate a hypothesis test for the following claim "Majority of Americans think the2010 healthcare law is unconstitutional"? What is your null hypothesis? What is your alternativehypothesis? (Here "majority" means "more than 50%".)(c) What is the sampling distribution for X = nô under your null hypothesis?(d) Calculate p-value for the test problem in part (b) using the data based on the Gallup poll, based onthe sampling distribution in part (c).(e) How can you approximate the distribution of X under the null hypothesis using normal approximationto Binomial distribution? Draw the normal density curve and shade the area corresponding to yourp-value calculation (Hint: use pnorm or normTail).(f) Based on the p-value in part (d), what conclusion can you draw at significance level 0.01?

Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Answered: Question 3 On June 28, 2012 the U.S.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose you are designing a survey of firework plans among Kansas residents. You would like for the margin of error to be at most 2% for a 95% confidence interval. How big of a sample size should you choose?
2. Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 137 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%. a. State the null hypothesis. b. State the alternative hypothesis. c. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
Members of the Town of Colonie Golfers’ Loop frequently raise concerns to Mr. Lange, as its leader, about how the league is run. The most frequent concern raised is that the teams competing each week are not statistically even. In other words, members raise concerns that one or more teams have a statistical advantage over other teams. To evaluate the validity of these claims, Mr. Lange has decided to use a mix of statistical hypothesis tests discussed in this course to evaluate the teams from Outing #14 in calendar-year 2016 (2016, #14). One is the Equal Vari- ances F Test, one is Welch’s T Test, and the other is the 2-Sample T Test for Equal Means. In this particular outing, seven teams were competing for the win. A random sample of eight prior scores from each team member was collected, and the summary statistics are shown below (correct to three decimal places). team sample size sample mean sample variance 1 24 76.500 14.522 2 32 79.656 18.233…
Suppose that in a recent poll, 550 of the 915 randomly selected U.S. adults agreed with the statement “social media sites like Facebook and Twitter do more to divide the country” (as opposed to unite the country, or neither). a. Use this information to construct a 90% confidence interval.
Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
Confidence in banks: A poll conducted by the General Social Survey asked a random sample of 1325 adults in the United States how much confidence they had in banks and other financial institutions. A total of 149 adults said that they had a great deal of confidence. An economist claims that less than 15% of U.S. adults have a great deal of confidence in banks. a.State the appropriate null and alternate hypotheses. b.Compute the test statistic z. c.Using α = 0.05, can you conclude that the executive’s claim is true?
Is the following hypothesis testable and retuable: If atomic weapons were never invented, then there would be less anxiety in the world? Why or why not?
A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.
Legalization of marijuana, bootstrap test. The 2018 General Social Survey asked a random sample of 1,563 US adults: â€œDo you think the use of marijuana should be made legal, or not?â€ 60% of the respondents said it should be made legal. (NORC 2018) Consider a scenario where, in order to become legal, 55% (or more) of voters must approve. What are the null and alternative hypotheses for evaluating whether these data provide convincing evidence that, if voted on, marijuana would be legalized in the US.
The General Social Survey asked 1,578 US residents: “Do you think the use of marijuana should be made legal, or not?” 61% of the respondents said it should be made legal. (a) The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% confidence interval to 2%, about how many Americans would we need to survey?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS