Which one of the following statements is true? A. If a = 0.1 and we fail to reject the null hypothesis, the original assumption is accepted at the 10% level of significance B. The sample mean of the variable of interest is always in the middle of a confidence interval of the mean C. Statements about sample statistics are tested through the process of hypothesis testing D. In a 95% confidence interval, 95% of the values could be the value of the population parameter E. If a hypothesis is rejected at the 5% level of significance, it is also rejected at the 1% level of significance
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- For a population dataset with variance o2=24.60- How large a sample should be for a margin of error for a 95% confidence interval of u to 3.20? O A. 160 O B. 7 C. 227 D. 1018In a test of hypothesis, the null hypothesis is that the population mean is equal to 24 and the alternative hypothesis is that the population mean is not equal to 24. The test is to be made at the 5% significance level. The critical values of z are: a. –2.07 and 2.07 b. –1.65 and 1.65 c. –1.96 and 1.96 d. –2.17 and 2.17
- For the data set below, calculate r, r2, and a 95 percent confidence interval in r units. Then write a one- to two sentence conclusion statement that includes whether the null hypothesis was rejected or not and whether there is a strong /weak/no relationship. Assume a two tailed hypothesis and α = .05. Case 1 Case 2 Case 3 Case 4 Case 5 Case 6 X 1.05 1.15 1.30 2.00 1.75 1.00 Y 2 2 3 4 5 2To test the efficacy of a new cholesterol-lowering medication, 10 people are selected at random. Each has their LDL levels measured (shown below as Before), then take the medicine for 10 weeks, and then has their LDL levels measured again (After). Subject Before After 1 143 130 2 158 140 174 188 4 166 166 166 131 157 118 7 132 95 8 136 124 9 129 121 10 159 134 Give a 97% confidence interval for uB - u l, the difference between LDL levels before and after taking the medication. Confidence Interval =Test whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1You create a 95% confidence interval for the proportion of a population. The confidence interval does not contain 0.10. This means that Group of answer choices a.You have evidence to conclude that the population proportion is equal to 0.10. b.You do not have evidence to conclude that the population proportion is equal to 0.10. c.You have evidence to conclude that the population proportion is not equal to 0.10. d.You do not have evidence to conclude that the population proportion is not equal to 0.10. e.The answer cannot be determined with the information given.Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 9 7 5 21 Female 3 4 15 22 Total 12 11 20 43 Let p represent the population proportion of all male students who received a grade of B on this test. Use a 85% confidence interval to estimate p to four decimal places if possible.Which interval is which? Alessandro constructed three confidence intervals, all from the same random sample. The confidence levels are 90%, 95%, and 99%. The confidence intervals are I. 7.4<μ<8.6 II. 7.1(5) You take a random sample from some population and form a 98% confidence interval for the population mean, a. Which quantity is guaranteed to be in the interval you form? A. 0 B. u C. D. 0.98Pearson’s correlation is the only statistical test that can measure the relationship between two variables. a. True b. False A strong correlation indicates there is a cause-and-effect relationship between two variables. a. True b. False Within a hypothesis test, estimated standard error provides a measurement of which of the following: a. The typical amount of sampling error expected when the null hypothesis is true b. The typical mean expected when the null hypothesis is true c. The typical amount of sampling error expected when the null hypothesis is false d.The typical mean expected when the null hypothesis is falseTest the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, 20; a = 0.05. Sample statistics: d = -2.2, s, = 1.5, n=14 Identify the null hypothesis by writing its complement. O A. Ho: Ha #0 Ha: H = 0 O B. Ho: Hg s0 Hgi Hg>0 O D. Ho: Ha 0 E. Ho: Ha 20 H: H <0 The test statistic is t= -5.49. (Round to two decimal places as needed.) The critical value(s) is(are) t, = - 1.77 (Round to two decimal places as needed. Use a comma to separate answers as needed.) V the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim. Since the test statistic isSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. 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