Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.2, Problem 7AYU
In Problems 5–8, find the critical values
7. 98% confidence, n = 23
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. In general, a ____ t-statistic and a _____ p-value (relative to a chosen critical value and alpha) indicate that our estimated statistic is ____ to occur by chance if the null is true.
a. Large; large; likely
b. Small; large; likely
c. Small; small; unlikely
d. Large; large; likely
If I have a sample mean less than 30 at alpha= 0.05. What is the critical value using the Z table
To deal with the phenomenon of alpha inflation when doing multiple t-tests, what post-hoc tests such as the Bonferroni Correction do is _____. *
Divide the critical value of t by the number of comparisons
Multiply the alpha by the number of comparisons
Divide the alpha level by the number of comparisons
Multiply the critical value of t by the number of comparisons
Chapter B.2 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.2 - True or False: The chi-square distribution is...Ch. B.2 - Prob. 2AYUCh. B.2 - Prob. 3AYUCh. B.2 - Prob. 4AYUCh. B.2 - Prob. 5AYUCh. B.2 - Prob. 6AYUCh. B.2 - In Problems 58, find the critical values 1/22 and...Ch. B.2 - Prob. 8AYUCh. B.2 - Prob. 9AYUCh. B.2 - A simple random sample of size n is drawn from a...
Ch. B.2 - NW 11. pH of Rain The following data represent the...Ch. B.2 - Travel Taxes Travelers pay taxes for flying, car...Ch. B.2 - Crash Test Results The following data represent...Ch. B.2 - Crawling Babies The following data represent the...Ch. B.2 - Peanuts A jar of peanuts is supposed to have 16...Ch. B.2 - Investment Risk Investors not only desire a high...Ch. B.2 - Critical Values Sir R. A. Fisher, a famous...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. -Using the critical-value method with α = .05, test the hypothesis that incidence rates of MI changed from 2000 to 2010.- Report a p-value to correspond to your answer to Problem 7.12.Suppose that 25% of patients with MI in 2000 died within 24 hours. This proportion is called the 24-hour case-fatality rate.- Of the 15 new MI cases in the preceding study, 5 died within 24 hours. Test whether the 24-hour casefatality rate changed from 2000 to 2010 -Suppose we eventually plan to accumulate 50 MI cases during the period 2010–2015. Assume that the 24-hour case-fatality rate is truly 20% during this period. How much power would such a study have in distinguishing between case-fatality rates in 2000 and 2010–2015 if a two-sided test with…arrow_forwardIf the observed statistic exceeds the critical ratio, what can we say about the p value with respect to the alpha level? A. p < α B. p > αarrow_forwardWe want to use a z-test to determine if the sample mean is less than 30 at alpha = 0.05. Use the z-table to find the critical value(s)arrow_forward
- What is the critical t value for a one sided test for alpha = .10? Imagine you are using a one-sample t test and your sample size is 15. A) 1.350 B) 1.345 C) 1.341 D) 1.337arrow_forwardYou conduct a hypothesis test and find that your data are statistically significant at alpha = 0.03. What may you conclude? A. The data would also be significant at alpha = 0.02. B. The data would also be significant at alpha = 0.05. C. Both A and B are true. D. Neither A nor B is true.arrow_forwardThe mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76. A.What is the appropriate procedure to test for a significant difference in means between the two groups?B. Implement the procedure in Problem 8.3 using theD.critical-value method.C. What is the p-value corresponding to your answer toProblem 8.4? Compute a 95% CI for the difference in meansbetween the two groups.arrow_forward
- Explain why the critical value of t, one-tailed, alpha = .05 is the same as the critical value of t, two-tailed, a .10 .arrow_forwardStep 2: Determine if r is statistically significant at 0.01 and 0.05 levels.arrow_forwardIf you let X1, X2, X3, X4 equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assuming the distribution of Xi is N(μi, σ2), i = 1, 2, 3, 4 and you test the null hypothesis H0: μ1 = μ2 = μ3 = μ4, using seven observations of each Xi, what would be the critical region for an alpha = 0.05 significance level?arrow_forward
- What is the difference between the critical value of z and the observed value of z?arrow_forwardQUESTION 23 Assuming all other factors are held constant, if the df value for a two-tailed t-test with α = .05 were increased from df = 6 to df = 20, what would happen to the critical values for t? a. The critical values would further from t = 0. b. The critical values would not change. c. The critical values would move closer to t = 0. d. This is impossible to determine without more information.arrow_forwardArandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30arrow_forward
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