If we were to also test the hypotheses H0: = 0.666 versus Ha: 0.666 using a significance level of = 0.10, we would decide to
1) p value for above test statistic 0.300
option B
2)
reject H0. as 0.666 is not in the confidence interval
3)
narrower than the 90% interval
4) significant at the 10% level, but not the 5% or 1% levels.
We wish to test H0: = 0 versus Ha: > 0. If we calculate a test statistic of =...
5. Suppose we perform the hypothesis test H 8 0 versus H 8 0. We find a 90 confidence interval for to be 82 < < 90. We draw the conclusion that we Rejeet Ha at a 10% significance level. Was our conclusion correct? Explain your answer.
Suppose a test of H0: μ = 0 vs. Ha: μ ≠ 0 is run with α = 0.05 and the P-value of the test is 0.052. Using the same data, a confidence interval for μ is also constructed. (a) Of the following, which is the largest confidence level for which the confidence interval will not contain 0? 90% 94% 95% 96% 99% (b) Of the following, which is the smallest confidence level for which the confidence interval will contain...
In a test of the hypothesis H0: μ=10 versus Ha: μ≠10 a sample of =50 observations possessed mean overbar x=10.6 and standard deviation s=2.6 Find and interpret the p-value for this test The p-value for this test is __________. (Round to four decimal places as needed.) Interpret the result. Choose the correct answer below. A. There is sufficient evidence to reject H0 for α > 0.11. B.There is insufficient evidence to reject H0 for α=0.15. C.There is sufficient evidence to...
(07.01 MC) A t statistic was used to conduct a test of the null hypothesis H0: µ = 2 against the alternative Ha: µ ≠ 2, with a p-value equal to 0.067. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 2? (4 points) A. A 90% confidence level B. A 93% confidence level C. A 95% confidence level D. A...
l. A test is conducted of H0'tı 80 versus HA :tI-80is to be conducted at the 3% significance level A sample of size 40 is to be drawn. Assuming the standard deviation is 5, What is the power of the test if the true mean is 82? l. A test is conducted of H0'tı 80 versus HA :tI-80is to be conducted at the 3% significance level A sample of size 40 is to be drawn. Assuming the standard deviation is...
In testing H0: μ = 10 vs Ha: μ 6= 10, we find the test z-statistic is z(obs) = −2.5 Find the P-value of the test.
Question 5: Which statement is true: (a) A 90% confidence interval for μ is wider than a 95% confidence interval for μ (b) The width (Le, the length) of a confidence interval is equal to its margin of error (c) Decreasing the sample size will make the confidence wider (d) The standard deviation of the sample mean is larger than the population standard deviation o. Question 6. A test of H0 : μ-128 against Ha : μ > 12.8 has...
1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2 > 0 Here p1 is the population proportion of “happy” of Population 1 and p2 is the population proportion of “happy” of Population 2. Use the statistics data from a simple random sample of each of the two populations to complete the following:(10 marks) Population 1 Population 2 Sample Size (n) 1000 1000 Number of “yes” 600 280 a. Compute the test statistic z....
Chapter 4, Section 5, Exercise 160 Hypotheses for a statistical test are given, followed by several possible confidence intervals for different samples. In each case, use the confidence interval to state a conclusion of the test for that sample and give the significance level used. In addition, in each case for which the results are significant, state which group (1 or 2) has the larger mean. Hypotheses: H0:μ1=μ2 vs Ha:μ1≠μ2 (a) 95% confidence interval for μ1-μ2: 0.15 to 0.55 Conclusion:...
A two-sample t test of the hypothesis HO: u1-u2=0 versus HA: u1-u2>0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0. a.) I only b.) III only c.) I...