What is the relationship between confidence intervals and hypothesis testing?When testing Ho: μ = μ versus H₁ : μμo, if a 90% confidence interval does not contain Ho, we (Choose one) ▼ Ho at theSlevel.

Given: Confidence interval=90% Level of significance, a= 1-0.90=0.10

Answered: What is the relationship between…

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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An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of ?=78 college students found 30 who had brown eyes.Consider testing ?0:?=.45??:?≠.45 (a) The test statistic is ? = (b) P-value =
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 49 10.3 9.64 2 58 8.5 15.42 A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁-₂ is 0.05 to 3.55. Use these confidence intervals to answer the questions. Can you conclude with 99% confidence that there is a difference in the means for the two populations? Ⓒ Yes. The value #₁ - ₂2=0 is not in the interval which suggests that there is likely a difference between ₁ and 1₂. ₂ = 0 is not in the interval which does not suggest that there is a difference between and H1 #₂. O No. The value μ₁ - O No. The value μ₁ - ₂ = 0 is in the interval which does not suggest that there is a difference between and M₂ 1₂" and H₂ H₂² Yes. The value and H₂ H₂" = 0 is in the interval which suggests that there is likely a difference between M₁ - H₂ Can you conclude with 99% confidence that there is…
Alessandro constructed three confidence intervals, all from the same random sample. The confidence levels are 90%, 95%, and 99%. The confidence intervals are Ⅰ. <6.2<μ7.8 Ⅱ. <6.1<μ7.9 Ⅲ. <5.8<μ8.2 Unfortunately, Alessandro has forgotten which confidence interval has which level. Match each confidence interval with its level.
Can you answer this?
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
The 95% confidence interval for a one group, continuous outcome scenario is calculated. The mean is 4 with a 95% confidence interval of 2 to 6. These findings are interpreted in the following manner: "We are 95% confident that the true standard deviation is between 2 and 6." Is this a correct interpretation? Yes, it is correct No, it is not correct
Based upon the results of the sample in #1, can you say with 95% confidence that your confidence interval contains the true percentage of all adult females registered to vote?
What is the relationship between confidence intervals and hypothesis testing? When testing H: µ=µ, versus H, : µ+µ, if a 99% confidence interval does not contain Ho, we (Choose one) H, at the level.
true? What error we make when we fail to reject the null hypothesis when the alternative is actually A. Type I B. Type II C. No error Consider the null and alternative hypothesis: Ho: #₁ = µ2, H₂ ₁2. For which of the following 95% confidence intervals would you reject the null hypothesis? A. (-1.5, 2.5) B. (0, 2.5) C. (0.1, 2.5) Suppose you conduct a hypothesis test Ho: P₁ - P2 = 0 versus Ha: P1 P2 > 0 and obtain a test statistic z = 2.5. Which of the following is the correct Matlab command for the p-value? A. normcdf (2.5) B. 1-normcdf (2.5) C. 2*normcdf (2.5) D. 2*(1-normcdf (2.5))
We have conducted a one sided hypothesis test with a significance level a = 0.05. We would like to also construct a confidence interval with an equivalent level so that we can compare our results. What should the confidence level of this interval be? (Note: Do not include the percent sign.)
Early-childhood-development studies indicate that the more often a child is read to from birth, the earlier the child begins to read. A local parents’ group wants to test this theory and samples families with young children. They find the following results. Construct a 99% confidence interval to estimate the true difference between the proportions of children who read at an early age when they are read to frequently compared to those who were read to less often, as described in the table of results. Let Population 1 be the children who were read to frequently and Population 2 be the children who were read to less often. Round the endpoints of the interval to three decimal places, if necessary. Ages when Children Begin to Read Read to at Least Three Times per Week Read to Fewer than Three Times per Week Started Reading by age 4 60 35 Started Reading after age 4 36 51 Lower end point: Upper end point:
you conducted additional studies with these men and found the following: a. The RR for those who drank one drink per day was 1.50 (95% CI:1.32-1.67) in comparison to the abstainers. b. For those men who drank three or more drinks per day the RR compared to the abstainers was 4.20 (95% CI 2.68-5.85). Question: We can tell from the Confidence Intervals provided in #7 whether there are likely more people in the “one drink a day” group or the “3+ drinks per day” group. Which one likely has more people and how can we tell?

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What is the relationship between confidence intervals and hypothesis testing? When testing Ho: μ = μo versus H₁ μμo, if a 90% confidence interval does not contain Ho, we (Choose one)▾ Ho at the level.