All of the following statements regarding Confidence Intervals and Hypothesis Testing are correct except for: A two-tailed hypothesis test conducted at alpha=.05 requires a two-sided 90% confidence interval. One-sided confidence intervals are used for one-tailed hypothesis tests. A two-tailed hypothesis test conducted at alpha=.01 requires a two-sided 99% confidence interval. If the hypothesized mean is in the confidence interval, the null hypothesis will NOT be rejected.

All of the following statements regarding Confidence Intervals and Hypothesis Testing are correct except for: A two-tailed hypothesis test conducted at alpha=.05 requires a two-sided 90% confidence interval. One-sided confidence intervals are used for one-tailed hypothesis tests. A two-tailed hypothesis test conducted at alpha=.01 requires a two-sided 99% confidence interval. If the hypothesized mean is in the confidence interval, the null hypothesis will NOT be rejected.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.
After reporting the results from a formal hypothesis test, it is often likely that statisticians will report a confidence interval in order to indicate that a null value is present, indicating a significant response . True False
Can any of the following values be rejected at the 95% confidence interval using the Grubbs test? 0.8452 0.8265 0.8401 0.8422 0.8397 Average = 0.83874 St. Dev. = 0.007181 1)Yes, 0.8265 should be eliminated because Gcalc is 1.71 and Gcalc > Gtable. 2)No, data can never be eliminated using the Grubbs test. 3)Yes, 0.8265 should be eliminated because Gcalc is 1.71 and Gcalc < Gtable. 4)Yes, 0.8452 should be eliminated because Gcalc is 0.90 and Gcalc < Gtable. 5)No, 0.8265 should not be eliminated because Gcalc is 1.71 and Gcalc < Gtable. 6) Yes, 0.8265 should be eliminated because is it 0.0132 away from the next nearest value.
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α
According to a study completed in 2006 by Pew Internet, 42% of all Americans had a broadband Internet connection at home. This same statistics student wanted to see if this percentage is different for students at his university. Ho: p = 0.42 Ha: p ≠ 0.42 Based upon the data the student collected, a 95% confidence interval for p was found to be: (0.439, 0.457). At the 0.05 level of significance, which conclusion can be made? a. The student should reject the null hypothesis, because 0.42 is a possible value for p given the data collected. b. The student should not reject the null hypothesis, because 0.42 is not a possible value for p given the data collected. c. The student should reject the null hypothesis, because 0.42 is not a possible value for p given the data collected. d. The student should not reject the null hypothesis, because 0.42 is a possible value for p given the data collected.
Determine if each of the following statements is true or false, and explain why. A 95% confidence interval is always narrower than a 99% confidence interval (provided the intervals are constructed using the exact same data). If a two-sided test finds sufficient evidence that using the 5% significance level, then the corresponding 95% confidence interval will contain If you have just constructed a 90% confidence interval, then there is a 90% chance that the interval contains the true value of the parameter of interest.
An appropriate conclusion to an appropriate hypothesis test, as well as an explanation of a related confidence interval, must be included. Conclusions, as always, must be relevant to the issue at hand.

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		A two-tailed hypothesis test conducted at alpha=.05 requires a two-sided 90% confidence interval.
		One-sided confidence intervals are used for one-tailed hypothesis tests.
		A two-tailed hypothesis test conducted at alpha=.01 requires a two-sided 99% confidence interval.
		If the hypothesized mean is in the confidence interval, the null hypothesis will NOT be rejected.