Critical Values. In Exercises 21–24, refer to the information in the given exercise and do the following.
a. Find the critical value(s).
b. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
22. Exercise 18
18. The test statistic of z = −2.50 is obtained when testing the claim that p < 0.75.
Learn your wayIncludes step-by-step video
Chapter 8 Solutions
Student Workbook For Elementary Statistics
Additional Math Textbook Solutions
STATS:DATA+MODELS-W/DVD
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
- You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 10, you determine that r = 0.80. a) What is the value of the t test statistic t STAT ? b) At the a = 0.05 level of significance, what are the critical values? c) Based on your answers to (a) and (b), what statistical decision should you make?arrow_forwardMeasurement of anxiety levels. Before Deeep Breathing 20 19 15 13 12 11 After Deep Breathing 14 15 15 10 8 7 2. What's the null hypothesis for this research question? 1. Anxiety levels are significantly lower after deep breathing? 2. Anxiety levels are the same before and after deep breathing?arrow_forward12c: One researcher estimated that smoking reduces the sense of smell. The mean of the odor test for non-smokers is μ=18.4. The following scores were obtained by giving the same odor test to an unbiased sample of a cigarette smokers: 16 14 19 17 16 17 15 18 19 12 14 18 c) What is the critical t value for alpha=.05?arrow_forward
- Determine (a) the χ2 test statistic, (b) the degrees of freedom, (c) the critical value using α=0.05,and (d) test the hypothesis at the α=0.05 level of significance. outcome A B C D Observed 41 36 46 37 Expected 40 40 40 40 H0: pA=pB=pC=pD=14 H1: At least one of the proportions is different from the others. (a) The test statistic is _____? (Type an exact answer.)arrow_forwardA) What is the t critical value? B) What is the t statistic value? C) True or False. We fail to reject the null hypothesis and that means the tuning forks are not significantly out of tune.arrow_forwardA scientist studying local lakes claims that there is a linear relationship between a lake’s level of mercury and the lake’s depth. The scientist collected data to test the claim at a significance level of α=0.01. The following hypotheses were tested. H0:β1=0Ha:β1≠0 The test yielded a t-value of 2.7 and a p-value of 0.012. Which of the following is a correct conclusion about the scientist’s claim? The null hypothesis is rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. A The null hypothesis is not rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. B The null hypothesis is rejected since 0.012>0.01. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth.…arrow_forward
- n =14 s = 20 The null hypothesis is to be tested at the 5% level of significance. The critical value(s) from the table is(are) _____.arrow_forwardwht is the lower critical value nd high You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n=11, you determine that r=0.75. a. What is the value of tSTAT? b. At the α=0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? a. What are the hypotheses to test? A. H0: ρ=0 H1: ρ≠0 Your answer is correct. B. H0: ρ≤0 H1: ρ>0 C. H0: ρ≠0 H1: ρ=0 D. H0: ρ≥0 H1: ρ<0 tSTAT=3.40173.4017 (Round to four decimal places as needed.) b. The lower critical value is enter your response here. (Round to four decimal places as needed.)arrow_forward(A) Diet has a significant effect on Concentration at the p < 0.05 level only (B)Diet has a significant effect on Concentration at the p < 0.05 and p < 0.01 levels (C)Diet has a significant effect on Concentration at the p < 0.01 level only (D)There is not enough information to determine the effect. (E)Diet does not have a significant effect on Concentration at either the p < 0.05 or p < 0.01 levelsarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill