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QUESTION The the p-value, the stronger the evidence against the null hypothesis. smaller larger QUESTION 7...
Question 2 (0.5 points) The smaller the P-value, the stronger the evidence against Ho. True False Question 3 (0.5 points) If the P-value is more than the significance level, we reject Ho. O True O False
In a one-sample z test, the smaller the P-value, Select one: a. the stronger the evidence to reject the null hypothesis b. the narrower the width of the 95% confidence interval c. the wider the width of the 95% confidence interval d. the stronger the evidence to reject the alternative hypothesis
The p-value of a hypothesis test provides information about the strength of evidence against the null hypothesis, from which you are able to ‘reject’ or ‘fail to reject’ conclusions based on a pre-set α. (Please justify your selection) (a) True (b) False
Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times during the summer in Holtville on n-60 days. The mean of 8 = 100°F is obtained, with 0 - 10°F. Using the 0.05 significance level, test the claim that the mean temperature is over 995 Hop-100; Hy w 100. Test statistic: 2-0.77. P-value: 0.7794. Because the...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
18 marks] Suppose X~N(0,0). We wish to use a single value X hypothesis to test the null against the alternative hypothesis Denote by C aa) the critical region of a test at the significance level of -0.05 (a) 2 marks] What is the sample space S, the parameter space 9 space Θο of the test? and the null parameter (b) 12 marks) Computea (c) 12 marks Compute the power of the test (i.e., at 2) (d) [2 marks] Compute the...
N(0,02). We wish to use a 1. [18 marks] Suppose X hypothesis single value X = x to test the null Ho : 0 = 1 against the alternative hypothesis H1 0 2 Denote by C aat the critical region of a test at the significance level of : α-0.05. (f [2 marks] Show that the test is also the uniformly most powerful (UMP) test when the alternative hypothesis is replaced with H1 0 > 1 (g) [2 marks Show...
For each problem, select the correct response. (a) What is the P-value of a test of the null hypothesis? A. The probability the null hypothesis is false B. The probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed C. The probability the null hypothesis is true D. The probability, assuming the null hypothesis is true, that the test statistic will take a value at least as...
Question Completion Status: QUESTION 2 The Null Hypothesis (HO): O The two categorical variables are independent Op1 = P2 = ... = Pg, where g = 4 Homogeneity of distribution of a categorical response Goodness-of-fit test QUESTION 3 Significance level: a = a=0.05 Which test statistic would we use for the test? X-MO 2 = P - Po po(1-P) F = t= MSG MSE x-1 (0-1) E s/n (a) 72 (b) (c) (d) O 1.a O2.b O3.c 04.0 QUESTION 4...
please help with all parts Question Help Suppose you want to test a hypothesis that two treatments A and B, are equivalent against the alternative hypothesis that the responses for Atend to be larger than those for B. You plan to use a paired ofference experiment and to analyze the resulting data shown in the accompanying datatable, with the Wilcoxon signed rankos. Complete partea and b. Click the loon to view the datatable Click the leon to view a table...