The probability value, or p-value, is an important value generated by a variety of statistical analyses.Select all of the following that are true when considering a p-value:a. The p-value is the probability that both the null hypothesis and the observed data are both true atthe same timeb. A high p-value, say p = 0.40, means is it highly unlikely that the null hypothesis and theobserved data are both true.c. A high p-value, say p = 0.40, means is it highly likely that the null hypothesis and the observeddata are both true.d. When the p-value is greater than alpha (p>0.05), we fail to reject the null hypothesis. Theobserved data do match our expectations.e. When the p-value is less than alpha (p < 0.05), we reject the null hypothesis. The observeddata do not match our expectations.

The p-value is the probability of obtaining the test results i.e., test statistic value (based on…

Answered: The probability value, or p-value, is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You have a random sample of people. You conduct a hypothesis test to see if your sample's proportion, which is 0.25, is significantly less than the hypothesized population proportion of 0.30. What does it mean to have a p-value of 0.20? Group of answer choices The probability that the null hypothesis is true, given our random sample, is 0.20. The probability that the alternative hypothesis is true, given our random sample, is 0.20. If the population has a proportion of 0.30, then there is a 0.20 probability that a random sample drawn from this population would have a sample proportion of 0.25 or less. If the population has a proportion less than 0.30, then there is a 0.20 probability that a random sample drawn from this population would have a proportion equal to 0.25.
When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. A. The chance that the null hypothesis is true changes from 0.10 to 0.05. OB. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis). c. It becomes harder to prove that the null hypothesis is true. OD. The chance of committing a Type I error changes from 0.10 to 0.05. ⒸE. The chance of committing a Type II error changes from 0.10 to 0.05. OF. It becomes easier to prove that the null hypothesis is true. ⒸG. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).
Residents of certain regions were asked about their thoughts on national defense spending. The results are represented in the table below. Northeast Southeast Midwest West Increase defense spending 169 335 265 359 Keep spending the same 226 278 278 249 Decrease defense spending 210 151 248 115 What is the empirical probability that an individual is from the Northeast, given that they want increased defense spending? Answers should be percentages correct to two decimal places.
Consider the following statements: I. As far as the probability of a Type I error is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test. II. A point estimation procedure in a one sample scenario utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest. a. I and II are both true. b. I and II are both false. c. I is true and II is false. d. I is false and II is true. e. I is false and II is sometimes true.
Determine the null and alternative hypotheses. A. H0: All outcomes are equally likely. Ha: At least one of the probabilities is different from the others. This is the correct answer. B. H0: At least one of the probabilities is different from the others. Ha: All outcomes are equally likely. C. H0: All frequencies are equal to 5. Ha: All frequencies are less than 5. Your answer is not correct. D. H0: All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, χ2. χ2= (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does it appear that the loaded die behaves differently than a regular die? A. Yes, because there is sufficient evidence to reject the null hypothesis. B. No, because there is not sufficient evidence to reject the null hypothesis. answer is correct. C. Yes, because there is not…
The term "p-value," which comes into play in the analysis and conclusions steps of the scientific method, can be defined as: O The probability that the alternative hypothesis is true. O The probability that the null hypothesis is true. O The probability of obtaining your data, or something even more extreme, if the null hypothesis is true. The probability that you should reject your alternative hypothesis.
Complete the following table and use it calculate the probabilities given below. DACITY A < AC a. P (A or B) = b. P (A or B) = Total B 0.434 0.556 BC 0.247 SUBMIT QUESTION Total I SAVE PROGRESS SU
(5) You take a random sample from some population and form a 98% confidence interval for the population mean, a. Which quantity is guaranteed to be in the interval you form? A. 0 B. u C. D. 0.98
Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Hou H₁: H 1.0 1.0
Residents of certain regions were asked about their thoughts on national defense spending. The results are represented in the table below. Northeast Southeast Midwest West Increase defense spending 466 227 366 239 Keep spending the same 224 344 188 142 Decrease defense spending 409 359 128 173 What is the empirical probability that an individual from the West wants to decrease defense spending? Answers should be percentages correct to two decimal places.
According to a recent Gallup Poll, 75% of Americans report that they are better off financially today than they were a year ago. Let p be the proportion of people in a random sample of 230 Americans that say that they are better off financially today than they were a year ago. Determine the following probabilities. Round solutions to four decimal places, if necessary . Find the probability that in a random sample of 230 Americans, less than 81% say they are better off financially today than they were a year ago. P( hat p <0.81)=; = Box Find the probability that in a random sample of 230 Americans, between 71% and 75% say they are better off financially today than they were a year ago . P(0.71< hat p <0.75)=

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