It is common knowledge that a fair penny will landheads up 50% of the time and tails up 50% of thetime. It is very unlikely for a penny to land on itsedge when flipped, so a probability of 0 is assignedto this outcome. A curious student suspects that 5pennies glued together will land on their edge 50% ofthe time. To investigate this claim, the studentsecurely glues together 5 pennies and flips thepenny stack 100 times. Of the 100 flips, the pennystack lands on its edge 46 times. The student wouldlike to know if the data provide convincing evidencethat the true proportion of flips for which the pennystack will land on its edge differs from 0.5.The power of this test to reject the null hypothesisif p = 0.46 is 0.20 using a significance level ofa = 0.10. The student argues that the power to rejectthe null hypothesis if p = 0.46 is too low. What valueof the alternative hypothesis would provide thegreatest power for this test?O p= 0.3p= 0.4p= 0.5O p = 0.6

If the hypothesized proportion is greater, then it may have the greatest power. Therefore, in order…

Answered: The power of this test to reject the…

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

You wish to test the following claim (H) at a significance level of a = 0.01. Ho: P₁ = P2 p1 H₁: P₁ P2 = 685 from You obtain 127 successes in a sample of size ni the first population. You obtain 131 successes in a sample of size n2 = 786 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
309 of 550 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected records of personal telephone calls they had made. USE SALT Is there sufficient evidence to conclude that a majority of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 1.4 P= The data ---Select--- ✓evidence to suggest that more than half of all U.S. adults say they would not be bothered if the NSA collected records of personal telephone calls they had made.
Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (p) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (HM) would equal , and the standard deviation of your sampling distribution of means (that is, the standard error or GM) would be The following chart shows the sampling distribution of the…
Help with Q2
IDENTIFY THE P VALUE AS WELL
A researcher was doing a study for a new Coronavirus Drug and conducted a hypothesis test like this one: H0: μ = 18 Ha: μ ≠ 18 a. What type of test is this? left-tailed right-tailed two-tailed b. She obtained a test statistic of 0.75, with a p-value of 0.4648. So she concluded that her true mean must be equal to 18. Is this interpretation correct? Yes No Why or why not?
The p-value for a hypothesis test turns out to be 0.09484. At a 2% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
You are conducting a hypothesis test where alternative (research) hypothesis is that mu is greater than 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if you were testing, instead, at the 0.10 significance level?
The p-value for a hypothesis test turns out to be 0.03621. At a 6% level of significance, what is the proper decision? O Reject Ho Fail to reject Ho
A hypothesis test is performed at significance level a=0.05: The p-value is found to be 0.001. What can we conlcude? O Our dataset and statistical test proves that the null hypothesis it true. O The statistical test in inconclusive, and the dataset is neither evidence for or against any hypothesis. O none of these O Our dataset and statistical test leads us to believe the null hypothesis is true, but we cannot say for sure. Our dataset is evidence in support of the null hypothesis. O Our dataset and statistical test leads us to reject the null hypothesis. Our data is statistically significant evidence against the null hypothesis. O Our dataset and statistical test proves that the null hypothesis it false.
Need help with this question. Thank you :)
A student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Becaus the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.

SEE MORE QUESTIONS

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