1. Consider testing the hypotheses Ho: p= 0.43 versus Ha: p>0.43. Four possible samplestatistics, along with four possible p-values, are given. Match the statistics to their p-values.A||||p-value = 0.872p-value = 0.586p-value = 0.276p-value = 0.038BA 0.02452. Match each p-value to the most appropriate conclusion.B 0.0036p-value = 0.042p-value = 0.006p-value = 0.084p-value = 0.118CC 0.068210%"The evidence against the null and in favor of the alternative is very strong.""The result is significant at the 5% level but not at the 1% level.""There is really no evidence supporting the alternative hypothesis.""The evidence against the null is significant, but only at the 10% level.'DD 0.36193. For each p-value given, indicate the level(s) at which it would be significant. For each cell ofthe table put either S for "significant" or NS for "not significant".5%991%5. For each p-value, indicate the correct conclusion of the test (either R for "Reject H," or DNRfor "Do not reject H") based on this p-value if we use a 5% significance level.(a) p-value = 0.008(b) p-value = 0.083

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Answered: 2. Match each p-value to the most…

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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1.Distinguish p-value from alpha. 2. Which of the following alpha values provides the strongest evidence the reject the null hypothesis? a. 5%b. 1%c. 0.01% 3. Which approach measures the strength of the evidence against the null hypothesis, the p-value approach or the critical value approach?
Suppose we test H0: π1 = π2 at the 0.05 level of significance. If the z-test statistic is −1.07, what is our decision? Multiple Choice A. Reject the alternate hypothesis. B. Do not reject the null hypothesis. C. Reject the null hypothesis. D. Reserve judgment until a larger sample can be taken.
Which of the following would be strong evidence for a researcher’s hypothesis? A. a small P-value B. a large P-value C. a t test statistic close to zero D. Both A and C.
. Suppose you were to explain to a person who has not yet studied statistics that a statistical test has just resulted in the rejection of the null hypothesis that a population mean μ is equal to 0. That is, ?0: ? = 0. has been rejected, say, at the 5 percent level of significance. Which of the following is a more accurate statement? (a) The evidence of the data indicated that the population mean differs significantly from 0. (b) The evidence of the data was significant enough to indicate that the population mean differs from 0.
You wish to test the following claim (Ha) at a significance level of a = 0.01. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n = 26 with a mean of E = 65.1 and a standard deviation of s1 = 20.3 from the first population. You obtain a sample of size ny = 27 with a mean of ī2 = 81.8 and a standard deviation of s2 = 14.9 from the second population. a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use. p-value = Use Technology Round to 4 decimal places. c. The p-value is... O less than (or equal to) a O reater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that... O There is sufficient evidence to warrant…
1. The null hypothesis if you are trying to find out if you have enough evidence to conclude that the population means is different than 55 would be Ha: µ ≠ 55 True False 2. A p-value of 0.017 provides more evidence against the null hypothesis than a p-value of 0.005. True False
4
You wish to test the following claim (Ha) at a significance level of a = 0.001. t = I1:"H You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n = 20 with a mean of E = 79.7 and a standard deviation of s1 = 11.5 from the first population. You obtain a sample of size nr = 26 with a mean of I2 = 81.7 and a standard deviation of s2 = 10.4 from the second population. a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use. p-value = Use Technology, Round to 4 decimal places. c. The p-value is... O less than (or equal to) a O greater than o d. This test statistic leads to a decision to.. O eject the null O accept the null O fail to reject the null e. As such, the final conclusion is that... O There is sufficient evidence to…
Aurora is conducting a one-sample ?z test of the null hypothesis ?0:?=0.12H0:p=0.12 against the alternative ??:?<0.12Ha:p<0.12, where ?p is the population proportion. She requires her results to be statistically significant at a level of ?=0.10α=0.10. She selects a random sample of size ?n = 200 and calculates the sample proportion, ?̂ p^ = 0.10. What is the value of the standardized test statistic and ?P-value of her test? Give ?z precise to two decimal places and the ?P-value precise to four decimal places.
Over the years, the mean customer satisfaction rating at a local restaurant has been 79. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 79. In a sample of 51 customers chosen at random, the mean customer rating is 81.2. Assume that the population standard deviation of customer ratings is 7.5. Is there enough evidence to support the claim that the mean customer rating is different from 79? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho- C=D (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by
Match each of the hypothesis test conclusions below to the corresponding p-value. There is not enough evidence to reject the null hypothesis at any reasonable significance level. The evidence against the null and in favor of the alternative hypothesis is extremely strong. The evidence against the null hypothesis is statistically significant at the 10% level, but not at the 5% level. The result is statistically significant at the 5% level but not at the 1% level. I. p-value = .0003 II. p-value = .317 III. p-value = .089 IV. p-value = .039
A recent study by Munro et al found that 15% of college freshman were not happy with their choice of major. A random sample of 100 college juniors found that 10% were not happy with their major. Is there sufficient evidence to suggest that the proportion of students not happy with their major is smaller among juniors than a freshman? Use alpha = .05. I.State the hypotheses. II.Calculate the test statistic. III.Find the p-value. IV.Make a statistical decision. V.State your conclusion in the context of the problem.

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