A 95% confidence interval for μ is computed to be (1.90, 3.65). For each of the following hypotheses, state whether H0 will be rejected at 0.05 level.
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A 95% confidence interval for μ is computed to be (1.90, 3.65). For each of the following hypotheses, state whether H0 will be rejected at 0.05 level.
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- A 95% confidence interval for the mean (u) of a population is computed from a random sample and found to be 9 ± 3. Which of the following is a correct statement? O a. if we took many, many additional random samples and from each computed a 95% confidence interval for H, approximately 95% of these intervals would contain u. O b. 95% of values sampled are between 6 and 12. O c there is a 95% probability that the true mean is 9 and a 95% chance that the true margin of error is 3. O d. there is a 95% probability that u is between 6 and 12. O e. all of the above are true.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.Sal knows that parties of people on average spend 75 minutes at their restaurant. They wonder if this average is significantly different on the weekends. They found the average time spent by the 30 parties which dined there this weekend was 82 minutes with a SD of 17 minutes. Assume an alpha of .05. The lower end of the 95% confidence interval is and the higher end of the 95% confidence interval is.
- 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?A corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters, such as p, ?1 − ?2, or p1 − p2, which we will study in later sections.) Whenever the value of k given in the null hypothesis falls outside the c = 1 – α confidence interval for the parameter, we reject H0. For example, consider a two-tailed hypothesis test with ? = 0.01 and H0: ? = 21H1: ? ≠ 21 A random sample of size 30 has a sample mean x = 22 from a population with standard deviation ? = 3. (a) What is the value of c = 1 − ?? Using the methods of Chapter 7, construct a 1 − ? confidence interval for ? from the sample data. (Round your answers to two decimal places.) lower limit upper limitOne company recently conducted a survey in which 420 women and 420 men were asked "Are you satisfied with the work of the Minister of Health?". Of these, 155 men and 118 women said they were satisfied with the minister's work. Assume that the experimental design was correct. Questions 1 and 2 cover this survey. 1. Find the upper limit of 95% confidence interval for the difference in the proportion of men and women who are happy with the work of the Minister (let men be group 1). 1. 0.03. 2. 0.09. 3. 0.15. 4. It is not possible to apply a normal approach and therefore we can not calculate the confidence interval. 2. What is the rejection area if it is to be examined whether the proportion of men and women who are satisfied with the job of Prime Minister is different (use a = 0.05)? 1. RejectHO efz 1.96. 2. Reject HO if z> 1.64. 3. RejectHO efz> -1.96 or <1.96. 4. Insufficient information provided to answer this.
- A researcher wants to estimate the true proportion of Americans who suffer side-effects after taking a particular medication. A 99% confidence interval for the true proportion of Americans who suffer side-effects after taking the particular medication was found to be (0.024, 0.160). If a hypothesis test is conducted with the hypotheses, H,: p = 0.10 vs H: p# 0.10 , what would be the most likely conclusion? Select one: a. There is very strong evidence that p 0.10. Ob. There is little to no evidence that p = 0.10. c. There is little to no evidence that p # 0.10. d. Cannot tell.Which of the following would be a correct interpretation of a 99% confidence interval such as 4.1 < µ<5.6? Choose the correct answer below. A. We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of u. B. It means that 99% of sample means fall between 4.1 and 5.6. C. There is a 99% chance that u will fall between 4.1 and 5.6. D. It means that 99% of all data values are between 4.1 and 5.6.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. 4.5<µ<5.5 II. 4.3 <µ<5.7 III. 4.6<µ<5.4 Unfortunately, Alessandro has forgotten which confidence interval has which level. Match each confidence interval with its level. 4.5Which 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. 7.1Suppose a researcher takes a random sample of 1,000 students from a university and creates a 95% confidence interval for the true proportion of left handed students at the university. Which of the following is true about this interval when compared with a 95% confidence interval based on a random sample of 600 students from the same university? a. The interval based on a sample of 600 students will be wider than the interval based on a sample of 1,000 students. b. The lower and upper endpoints of the 95% CI based on 600 students will both be larger than the corresponding lower and upper endpoints of the 95% CI based on 1,000 students. c. 95% CIs based in samples of 1,000 students are more likely to include the true population proportion than 95% CIs based on samples of 600 students. d. The interval based on a 1,000 students will be wider than the interval based on 600 students. 2. If the researchers above wished to decrease the width of the mean confidence interval for the mean age…For each scenario below read the given null and alternative hypotheses statements as well as the initial decision about the null hypothesis. Post a conclusion about the claim in each test. (This means when you post your answer, you do not need to include any statement about the null hypothesis. Only the final conclusion is needed.) 1. The paired values of the Consumer Price Index (CPI) and the cost of subway fare are listed below. Test the claim that there is a linear correlation between the CPI and subway fare? Results Initial Decision - reject the null hypothesis. 2. ResultsP- value = 0.762SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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