Which of the following terms describes when the null hypothesis is NOT rejected when it should be rejected?O Significance level, aType I errorType II errorp-ValueAlternative hypothesis

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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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Suppose that a hypothesis test is performed at a small significance level. State the appropriate conclusion in each case by referring to Key Fact 2. a. The null hypothesis is rejected.b. The null hypothesis is not rejected.
Which one of the following statements about the Type I error of hypothesis testing is wrong? a.It means that we may reject the null hypothesis H0 when H0 is actually true. b.It is closely related to the significance level of the test. c.Researchers can control the probability of Type I error. d.It means that we may fail to reject the null hypothesis H0 when H1 is true.
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n a study of 817 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. Upper H 0 : p less than 0.5 Upper H 1 : p equals 0.5 B. Upper H 0 : p equals 0.5 Upper H 1 : p greater than 0.5 Your answer is correct. C. Upper H 0 : p equals 0.5 Upper H 1 : p less than 0.5 D. Upper H 0 : p equals 0.5 Upper H 1 : p not equals 0.5 E. Upper H 0 : p not equals 0.5 Upper H 1 : p equals 0.5 F. Upper H 0 : p greater than 0.5 Upper H 1 : p equals 0.5 What is the test statistic? z = p-value = conclusion
In a study of 819 randomly selected medical malpractice lawsuits, it was found that 473 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? ОА. Но: р30.5 H;: p> 0.5 ОС. Но: р0.5 H1: p= 0.5 OF. Ho: p= 0.5 ОЕ. Но: р-0.5 H1: p#0.5 H1: p<0.5 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to three decimal places as needed.)
The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Tennis Swimming Basketball 18-25 97 86 72 26-30 91 78 54 31-40 68 72 50 Over 40 67 58 43 What can be concluded at the a = 0.10 significance level?
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.1162 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.1162, is greater than a = 0.01. O B. Reject H, because the P-value, 0.1162, is less than a= 0.01. O C. Fail to reject Ho because the P-value, 0.1162, is less than a= 0.01. O D. Fail to reject H, because the P-value, 0.1162, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.1162, is less than a = 0.05. O B. Reject Họ because the P-value, 0.1162, is greater than a = 0.05. O C. Fail to reject Ho because the P-value, 0.1162, is greater than a = 0.05. O D. Reject H, because the P-value, 0.1162, is less than oa = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Reject H,…
For a hypothesis test, if the p-value for the test statistic is less than the significance level, which one of the following is a correct conclusion? Group of answer choices Reject the null hypothesis. There is enough evidence to conclude the alternative hypothesis is true. Fail to reject the null hypothesis. There is enough evidence to conclude the null hypothesis is true. Reject the null hypothesis. There is not enough evidence to conclude the alternative hypothesis is true. Fail to reject the null hypothesis. There is not enough evidence to conclude the alternative hypothesis is true.
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H, when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.0212 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Fail to reject H, because the P-value, 0.0212, is greater than a= 0.01. O B. Reject H, because the P-value, 0.0212, is greater than a = 0.01. OC. Reject H, because the P-value, 0.0212, is less than a = 0.01. O D. Fail to reject H, because the P-value, 0.0212, is less than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0212, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0212, is greater than a = 0.05. OC. Fail to reject H, because the P-value, 0.0212, is less than a = 0.05. O D. Reject H, because the P-value, 0.0212, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H, because…
In a(n) ________ test, the null hypothesis should be rejected when the test value is in either of the two critical regions. Explain.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O C. Ho: H=31 O A. Ho: H> 31 Hai H531 O B. Ho: H231 Ha:H31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject H because the P-value is less than the…
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. μ = 321 B. p < 0.23 C. p = 0.23 D. μ < 321 Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. μ = 321 B. p < 0.23 C. p = 0.23 D. μ < 321 Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10 (iv) Determine pˆiv Determine p^ Enter…

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Which of the following terms describes when the null hypothesis is NOT rejected when it should be rejected? O Significance level, a