Historically, about 70% of all U.S. adults were married. A sociologist who believes that marriage ratesin the United States have declined will take a random sample of U.S. adults and record whether ornot they are married.a) State the null and alternative hypotheses in words.b) Let p represent the proportion of all adults in the United States who are married. State the nulland alternative hypotheses in terms of this population parameter.

Test is that whether marriage rates in the United States have declined.

Answered: a) State the null and alternative…

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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In a two sample (independent-sample) test, what must be true if t = 0? Group of answer choices A)The two population means must be equal. B)The two sample means must be equal. C)The two sample variances must be equal. D)The two population means must be not equal.
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Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants different from the average stock price for fast food restaurants? If sit down restaurants are considered group 1 and fast food restaurants are group 2, what are the hypotheses of this scenario?
Four chemists are asked to determine the percentage of methyl alcohol in a certain chemical compound. Each chemist makes three determinations, and the results are the following: Chemist Percentage of Methyl Alcohol 1 84.99 84.04 84.38 2 85.15 85.13 84.88 3 84.72 84.48 85.16 4 84.20 84.10 84.55 (a) Do chemists differ significantly? Use a = 0.05 conduct a hypothesis test. (b) Analyze the residuals from this experiment. (c) If chemist 2 is a new employee, construct a meaningful set of orthogonal contrasts that might have been useful at the start of the experiment.
3. A researcher designs a study to test the hypotheses ??0: ?? = 28 versus ????: ?? < 28. A random sample of 50 measurements from the population of interest yields ??� = 25.9 and s = 5.6. Using α = 0.05 b) What is the value of the test statistic? c) If the classical approach is used, which decision rule do you use? d) What is your conclusion of this hypothesis test? e) If a p-value approach is required, what is the p-value equal to?
Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 23 people who drank ethanol and another group of 23 people given a placebo. The errors for the treatment group have a standard deviation of 2.40, and the errors for the placebo group have a standard deviation of 0.78. Assume that the two populations are normally distributed. Use a 0.05 significance level to test the claim that both groups have the same amount of variation among the errors. Let sample 1 be the sample with the larger sample variance, and let sample 2 be the sample with the smaller sample variance. What are the null and alternative hypotheses? OA. H₂:0² = 0²/2 OB. H₂:0² = 0²/2 H₁: 0²/12 #02/22 H₁:0² > 0²/2 ỌC Họỏi cơ OD. Ho: 0²/02/2 H₁:0² <0² H₁:0² = 0²/2 Identify the test statistic. (Round to two decimal places as needed.) Use technology to identify the P-value. (Round to three decimal places as needed.)
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20. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is your decision for this test of hypothesis? b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…

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a) State the null and alternative hypotheses in words. b) Let p represent the proportion of all adults in the United States who are married. State the null and alternative hypotheses in terms of this population parameter.