### Hypothesis Testing: Decision Rules**Task**:State whether the standardized test statistic $ z $ indicates that you should reject the null hypothesis.### Given $ z $ Values:- (a) $ z = 2.406 $- (b) $ z = 2.292 $- (c) $ z = -2.146 $- (d) $ z = 2.515 $### Diagram Explanation:A graph is provided which shows a standard normal distribution curve (bell-shaped) with the critical value for $ z $ marked at $ z_0 = 2.330 $. The shaded area to the right of this critical $ z $ value represents the rejection region for the null hypothesis $ H_0 $.### Questions and Choices:(a) For $ z = 2.406 $, should you reject or fail to reject the null hypothesis?- A. Fail to reject $ H_0 $ because $ z < 2.330 $.- B. Reject $ H_0 $ because $ z > 2.330 $.- C. Fail to reject $ H_0 $ because $ z > 2.330 $.- D. Reject $ H_0 $ because $ z < 2.330 $.(b) For $ z = 2.292 $, should you reject or fail to reject the null hypothesis?- A. Reject $ H_0 $ because $ z > 2.330 $.- B. Fail to reject $ H_0 $ because $ z < 2.330 $.- C. Fail to reject $ H_0 $ because $ z > 2.330 $.- D. Reject $ H_0 $ because $ z < 2.330 $.For similar exercises and interactive content, visit our [Hypothesis Testing Tutorial](#). ### Hypothesis Testing: Decision Making Based on Z-Scores#### Question (c)**For $ z = -2.146 $, should you reject or fail to reject the null hypothesis?**- **A.** Reject $ H_0 $ because $ z > 2.330 $.- **B.** Reject $ H_0 $ because $ z < 2.330 $.- **C.** Fail to reject $ H_0 $ because $ z > 2.330 $.- **D.** Fail to reject $ H_0 $ because $ z < 2.330 $.#### Question (d)**For $ z = 2.515 $, should you reject or fail to reject the null hypothesis?**- **A.** Fail to reject $ H_0 $ because $ z < 2.330 $.- **B.** Reject $ H_0 $ because $ z < 2.330 $.- **C.** Reject $ H_0 $ because $ z > 2.330 $.- **D.** Fail to reject $ H_0 $ because $ z > 2.330 $.#### Explanation for Answering:When making a decision about the null hypothesis ($ H_0 $) based on $ z $-scores, compare the calculated $ z $-score to the critical value (in this case, 2.330). Generally:- If $ |z| $ is greater than the critical value, reject $ H_0 $.- If $ |z| $ is less than or equal to the critical value, fail to reject $ H_0 $.So for the given questions:- For $ z = -2.146 $, $ |-2.146| < 2.330 $.- For $ z = 2.515 $, $ |2.515| > 2.330 $.

According to the given information in this question We need to identify the correct option

Answered: State whether the standardized test…

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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answer 4
Also, what would be the P-value along with the To=__?
Can you help me determine the P-value approach at the α=0.10 level of significance to test the hypotheses for the following equation?
A random sample of 64 students was asked to respond on a scale from one (strongly disagree) to seven (strongly agree) to the proposition: "Cellphone helps raise our standard of living." The sample mean response was 4.60 and the sample standard deviation was 1.6. Find the minimum significance level at which we can show that the true mean is greater than 4. 1 =-T.INV(0.05,63) 2 =T.DIST(3,63) 3 =T.INV.2T(0.10,63) 4 =T.DIST.RT(2,63) 5 =T.DIST.RT(3,63)
0.97 is not the answer
answer 2
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
Suppose are running a study/poll about the probability of catching the flu this year. You randomly sample 80 people and find that 53 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running: Ho:p = 0.68 H:p > 0.68 Calculate the test statistic, rounded to 3 decimal places = Z
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8/ 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…
K Previously, 6.6% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 55 workers and finds that 10 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? Ho: ▼ versus H₁: (Type integers or decimals. Do not round.) Because npo (1-Po) (Round to one decimal place as needed.) Find the P-value. = 10, the normal model P-value= (Round to three decimal places as needed.) Is there sufficient evidence to support the economist's belief? 00 be used to approximate the P-value. OA. Yes, do not reject the null hypothesis. There is sufficient evidence because the P-value is greater than α. OB. No, do not reject the null hypothesis. There is not sufficient evidence because the P-value is greater than α. C. Yes, reject the null hypothesis. There is sufficient evidence because the…

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