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 0?
90%
94%
95%
96%
99%
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...
Can someone explain why the
answer is A please?
Exercise Suppose a test of Ho:u = 7 and Ha: #7 is run with a = 0.05. The P-value of the test is 0.065. A confidence interval for u is also constructed. Of the following, which is the largest confidence level for which the confidence interval will NOT contain 7? A) 93% B) 94% C) 95% D) 96% E) 90%
Suppose that you are testing the hypotheses H0: μ=70 vs. HA: μ≠70. A sample of size 41 results in a sample mean of 65 and a sample standard deviation of 1.7. a) What is the standard error of the mean? b) What is the critical value of t* for a 99% confidence interval? c) Construct a 99% confidence interval for μ. d) Based on the confidence interval, at α=0.010 can you reject H0? Explain.
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Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...
Based on the sample data, the P-value for a two-sided test of the null hypothesis H0:μ=10H0:μ=10 vs. H1:μ≠10H1:μ≠10 is 0.06. Which of the following statements is correct? A. the 95% confidence interval includes the value 10 B. the 68% confidence interval includes the value 10 C. the 90% confidence interval includes the value 10 D. None of the above
(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...
You need to test H0: μ=10 against H1: μ>10. The test statistic was found to be, Ztest=1.72. The P value of the test should be: 0.0427 0.9573 0.0854 You need to test H0: μ=100 against H1: μ<100. The P value of the test was found to be 0.0001. A possible 95% confidence interval is: -∞, 99.5 -∞, 78.6 110.3, ∞ A 95% upper confidence interval for the tensile strength of 0.05 millimeter (mm) Sisal fiber in Megapascals...
Compute the value of the test statistic for testing H0: μ ≤ 30 vs. Ha: μ > 30, where the true standard deviation is 2.53. You have 32 observations of data in which the mean is 30 and the standard deviation is 2.58.
We wish to test H0: = 0 versus Ha: > 0. If we calculate a test statistic of = 0.6, then my p-value will be closest to 0.003 0.300 0.600 0.950 When estimating , the proportion of voting age citizens who will vote for Candidate A, political researchers calculate the 90% confidence interval (0.67, 0.73). 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 accept H0. reject H0. not reject...
Suppose that when data from an experiment was analyzed, the P-value for testing H0: μ = 50 versus Ha: μ > 50 was calculated as .0244. Which of the following statements are true? A. H0 is not rejected at .05 level B. H0 is not rejected at .025 level C. H0 is rejected at any level α D. H0 is rejected at .10 level
Suppose that you are testing the hypotheses Upper H0: p=0.33 vs. HA: p>0.33 A sample of size150 results in a sample proportion of 0.39 a) Construct a 99% confidence interval for p. b) Based on the confidence interval, can you reject H0 at αequals=0.005?Explain. c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in computing the confidence interval?