Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Chapter 13, Problem 3CQ
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To state:True/False: If we fail to reject the null hypothesis
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If an independent variable's null hypothesis is rejected, it should remain in the model.
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If the null hypothesis is h = h0 (here h denotes the population parameter of interest.) and the alternate hypothesis is h > h0 then we perform a two-tail hypothesis testing.
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If you are already certain that a null hypothesis is false, then: Significance testing provides no useful information since all it does is reject a null hypothesis. Significance testing is informative because you still need to know whether an effect is significant even if you know the null hypothesis is false. When a difference is significant you can draw a confident conclusion about the direction of the effect.
Chapter 13 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - In Exercises 9 and 10, determine whether the...Ch. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16E
Ch. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 26aECh. 13.1 - Calculator display: The following TI-84 Plus...Ch. 13.1 - Prob. 28aECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Confidence interval for the conditional mean: In...Ch. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Dry up: Use the data in Exercise 26 in Section...Ch. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - In Exercises 9 and 10, determine whether the...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - For the following data set: Construct the multiple...Ch. 13.3 - Engine emissions: In a laboratory test of a new...Ch. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13 - A confidence interval for 1 is to be constructed...Ch. 13 - A confidence interval for a mean response and a...Ch. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Construct a 95% confidence interval for 1.Ch. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - Prob. 12CQCh. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Air pollution: Following are measurements of...Ch. 13 - Icy lakes: Following are data on maximum ice...Ch. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 1WAICh. 13 - Prob. 2WAICh. 13 - Prob. 1CSCh. 13 - Prob. 2CSCh. 13 - Prob. 3CSCh. 13 - Prob. 4CSCh. 13 - Prob. 5CSCh. 13 - Prob. 6CSCh. 13 - Prob. 7CS
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- If we reject the null hypothesis (i.e., Ho), what does that tell us about the effect of our Independent Variable on our Dependent Variable?arrow_forwardConsider the regression model Y = B0 + B1 X1 + B2 X2 + u. Suppose you want to test the null hypothesis H0: B1 + B2 = 0, versus the alternative hypothesis H1: B1+ B2 != 0 (!= means "not equal to"). The data set consists of 100 observations. (a) Suppose we use an F-statistic to conduct the test. What are the degrees of freedom associated with this test statistic? (b) Let G(.) be the CDF of the F-distribution for the F-statistic in part (b). Denote the actual F-statistic by F_act. Suppose someone says that you should reject the null at the 5% significance level if G(F_act)<0.05. Explain whether you agree with this approach. (c) Suppose you find that the F-test in part (b)-(c) and the test in part (a) yield very different p-values. Do you think this result is correct? Briefly explain your reasoning.arrow_forwardWrite the null hypothesis for testing the statistical significance of the interaction effect for the regression model Y= B, + B,X, +B,D, + B,X,D,.arrow_forward
- The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.arrow_forwardA sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test? H0:β1=0Ha:β1≠0H0:β1=0Ha:β1≠0 A H0:β1=0Ha:β1>0H0:β1=0Ha:β1>0 B H0:β1=0Ha:β1<0H0:β1=0Ha:β1<0 C H0:β1≠0Ha:β1=0H0:β1≠0Ha:β1=0 D H0:b1=0Ha:b1≠0 Earrow_forward3) Consider a simple linear regression model Y = Bo + B₁x + €, where Y is the response variable, x is the explanatory variable and € is the random error. Suppose we have n observations (x₁, Y₁), ..., (xn, Yn) on x and Y. Write down the assumptions about the random errors €1,..., En.arrow_forward
- Conduct a test of the null hypothesis for both independent variable and interpret your finding. You do not have to calculate anything by hand here; use excel output.arrow_forwardA researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (Ho) put forth about the treatment? O The treatment has an effect on anxiety. O The treatment divides each anxiety score by a constant. O The treatment multiplies each anxiety score by a constant. The treatment has no effect on anxiety.arrow_forwarda.) There is some evidence that political views are shaped by where one grew up—in a city, in a suburb, or in a rural area. Using the "comm" variable (0 = rural; 1 = suburban; 2 = urban), we run a regression explaining where one lies along the abortion spectrum (0 = pro-life, 4 = pro-choice). Using the results below, assess that relationship. What is the null hypothesis (be specific)? Do we reject it or not? Interpret your findings for the layperson as well. . regress abort comm Source | SS df MS Number of obs = 305 -------------+---------------------------------- F(1, 303) = 2.57 Model | 5.36960305 1 5.36960305 Prob > F = 0.1100 Residual | 633.364823 303 2.09031295 R-squared = 0.0084 -------------+---------------------------------- Adj R-squared = 0.0051 Total | 638.734426 304 2.10110009 Root MSE = 1.4458…arrow_forward
- The ACME golf ball company believes they have created a golf ball that will travel 25 yards further than the top brand--Brand X. To test this, they recruited 40 professional golfers and had each golfer drive the ACME ball and measure the distance, then drive Brand X's ball and measure the distance. Which hypothesis test is most appropriate to use in this scenario? ● Two-sample t-test Paired t-test Two proportions test Multiple linear regressionarrow_forwardUnder alpha 0.05 should you reject or retain the null hypothesisarrow_forwardExplain why the hypothesis test H0:β1=0H0:β1=0 vs. Ha:β1≠0Ha:β1≠0 is called the test of no linear relationship.arrow_forward
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