For each problem, select the best response.(a) The P-value of a test of a null hypothesis isA. the probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed.B. the probability the null hypothesis is false.C. the probability the null hypothesis is true.OD. the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed.(b) In formulating hypotheses for a statistical test of significance, the null hypothesis is oftenA. 0.05B. the probability of observing the data you actually obtainedC. a statement of "no effect" or "no difference".D. a statement that the data are all 0.(c) In testing hypotheses, which of the following would be strong evidence against the null hypothesis?A. Using a small level of significance.B. Obtaining data with a small P-value.C. Using a large level of significance.D. Obtaining data with a large P-value.Remm

Statistical test of significance: The test of significance is a procedure in that an analyst…

Answered: For each problem, select the best…

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 test of the hypotheses, Ho: p s 0.24 and H1: p > 0.24 is a one-tailed test two-tailed test test of two sample means test of two sample proportions
Suppose there is a claim that a certain population has a mean, 4, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: 4= 9 H: u=9 Suppose you also know the following information. The value of the test statistic based on the sample is -2.044 (rounded to 3 decimal places). The p-value is 0.041 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? O since the p-value is less…
10
A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: H₂: O O ab What type of test is being conducted in this problem? OA. Two-tailed test OB. Right-tailed test OC. Left-tailed test O O os 6.5 06.5 esc Statcrunch ! 1 Q 2 W #3 E $ ► 4 R % 45 F T MacBook Pro A ^ 6 Y & 7 U * 0
Suppose there is a claim that a certain population has a mean, u, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Ho: H=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 Step 3: Shade the area represented by the p- value. 0.2 Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the…
You are conducting a test of independence to see if getting the flu is independent of whether or not you got a flu shot. Use a = 0.05. Report all answers accurate to four decimal places. Here is the sample data. Category Got Flu Shot Did not get Flu Shot Category Got Flu Shot The expected observations for this table would be: Got the Flu Did not get Flu Shot The resulting (O - E)² E Got the Flu 18 51 Category Got Flu Shot Did not get Flu Shot Did not get the Flu 118 19 Got the Flu for finding the test are: Did not get the Flu What is the p-value for this test-statistic? P-Value = Did not get the Flu What is the chi-square test-statistic for this data? (add the results from the previous table) x² =
Show work or excel formulas pls
3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
P-value is -.055 You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesis
Describe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 7 hours, technology output shows that the hypothesis test has power of 0.4033 of supporting the claim that u<7 hours of sleep when the actual population mean is 5.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value. Interpret this value of the power. O A. The chance of failing to recognize that =5.5 hours is not very high when in reality u= 5.5 hours. O B. The chance of failing to recognize that p<7 hours is not very high when in reality u=5.5 hours. O C. The chance of recognizing that u<7 hours is very high when in reality p = 5.5 hours. D. The chance of recognizing that u<7 hours is not very high when in reality u=5.5 hours. Identify the value of B and interpret that value. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. The value B= indicates that there is a…

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