When we test Ho: μ = 0 against H₂: μ>0, we get a P-value of 0.08. a. What would the decision be for a significance level of 0.01? Interpret in context. b. If the decision in (a) is in error, what type of error is it? c. Suppose the significance level were instead 0.10. What decision would you make, and if it is in error, what type of error is it? a. What would the decision be for a significance level of 0.01? A. We would decide to reject the null hypothesis. We would have sufficient evidence that the population mean is different from 0. B. We would decide not to reject the null hypothesis. We would not have sufficient evidence that the population mean is different from 0. C. We would decide not to reject the null hypothesis. We would have sufficient evidence that the population mean is different from 0. D. We would decide to reject the null hypothesis. We would not have sufficient evidence that the population mean is different from 0.

When we test Ho: μ = 0 against H₂: μ>0, we get a P-value of 0.08. a. What would the decision be for a significance level of 0.01? Interpret in context. b. If the decision in (a) is in error, what type of error is it? c. Suppose the significance level were instead 0.10. What decision would you make, and if it is in error, what type of error is it? a. What would the decision be for a significance level of 0.01? A. We would decide to reject the null hypothesis. We would have sufficient evidence that the population mean is different from 0. B. We would decide not to reject the null hypothesis. We would not have sufficient evidence that the population mean is different from 0. C. We would decide not to reject the null hypothesis. We would have sufficient evidence that the population mean is different from 0. D. We would decide to reject the null hypothesis. We would not have sufficient evidence that the population mean is different from 0.

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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47
You wish to test the following daim (Ha) at a significance level of a = 0.001. H.:P1 2 P2 Ha:P1 < P2 You obtain a sample from the first population with 244 successes and 117 failures. You obtain a sample from the second population with 523 successes and 202 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy) The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis O fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
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44
Express the alternative hypothesis in symbolic form. A psychologist claims that the mean amount of time (in hours) that females spend in talk therapy is more than that of men. Assume that two samples are independent. Let the female talk therapy times be the first population and the male talk therapy times be the second population.
Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. a. Identify the independent and dependent variables. b. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses. d. Determine the critical region using a one-tailed test with alpha = .05. e .Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). f. State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). g. Based on your analysis, is there a relationship between the drug and attention span?
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3
1.A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 3 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? Group of answer choices A.6 B.11 C.4 D.10
Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?
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You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, 44 = PostTest - PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your 4i and u2 are so that the differences are computed correctly.) H.:Hd = 0 0 + Prl : "H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 44.8 52.3 47.6 44.1 56.6 51.2 50.4 54.8 55.4 58.9 38 44.1 32.1 36 41.7 52.6 36.9 45.9 50.8 55 52.5 65.8 35.7 38.5 39.3 30.8 36.4 33.4 53.7 60 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or…