**Question: Which of the following is a correct description of a p-value?***Mark all that apply.*1. ☐ The conditional probability, given the observed data, that the null hypothesis is true.2. ☐ The probability, under a model specified by the null hypothesis, that a statistic would be at least as extreme as the observed value.3. ☐ A measure of practical significance.4. ☐ A measure of the extent to which the data agree with the null hypothesis.5. ☐ The conditional probability, given the observed data, that the alternative hypothesis is false.

The p-value is a statistical metric that tells us how likely it is to obtain the observed data, or…

Answered: Which of the following is a correct…

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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A p-value is calculated to be 0.005%. Check all of the statements that are CORRECT interpretations of this result. Group of answer choices The alternative hypothesis must be true. The null hypothesis has only 0.005% chance of being true. If the null hypothesis is true, something very surprising has occurred.
A confidence interval for the population mean ?� tells us which values of ?� are plausible (those inside the interval) and which values are not plausible (those outside the interval) at the chosen level of confidence. You can use this idea to carry out a test of any null hypothesis ?0:?=?0�0:�=�0 starting with a confidence interval: reject ?0�0 if ?0�0 is outside the interval and fail to reject if ?0�0 is inside the interval. The alternative hypothesis is always two‑sided, ??:?≠?0��:�≠�0 because the confidence interval extends in both directions from ?⎯⎯⎯.�¯. A 95% confidence interval leads to a test at the 5% significance level because the interval is wrong 5% of the time. In general, confidence level ?� leads to a test at significance level ?=1−?.l A medical director found the LDL cholesterol ?⎯⎯⎯=124.86�¯= for an SRS of 72 executives. The standard deviation of the LDL of all adults is ?=40.is . Give a 90% confidence interval for the mean LDL ?� of all executives in this…
It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? c. Compute p. d. Compute the test statistic. e. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. 1
Which one of the following statements is incorrect: A. A type I error consists of rejecting the null hypothesis when it is true B. A type II error consists of accepting the null hypothesis when it is false C. You can control simultaneously both the Type I and Type II error probabilities when the sample size is fixed D. Hypothesis testing and confidence intervals are related concepts
37
A college recently advertised that 92% of its students graduate debt-free. A student advocacy organization thinks that the college's claim is unlikely. The organization collected a random sample of 1051 recent graduates from the college and found that 90.2% of the sample graduated without any student debt. Use significance level of 10 % and employ the critical-v proportion of all students from this college that graduate debt-free is different than 92%. method to test the hypothesis that the State the null and alternative hypothesis for this test. О Н: р 0.92 О Но:р - 0.92, Ні:р 40.92 О Но:р 4 0.92, H:р - 0.92 О Но:р > 0.92, Нi:р <0.92 Determine the critical-value (s) for the hypothesis test. O-1.96, 1.96 O-1.64, 1.64 O-2.81, 2.81 01.64 Determine test statistic for the hypothesis test. O 3.38

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