Rejecting the null hypothesis that the population slope is equal to zero or no relationship and concluding that the relationship between x and y is significant does not enable one to conclude that a cause-and-effect relationship is present between x and y. Explain why.
Rejecting the null hypothesis that the population slope is equal to zero or no relationship and...
Rejecting the null hypothesis can tell a researcher that a finding is statistically significant (for example, say there is a significant difference between students in our class and students in general) -- but this doesn’t tell us how extreme the difference really is (just that there is one). What statistical metric tells us how extreme a result is? (Or, in other words, the extent to which two population distributions do not overlap)? A. Effect size / Cohen’s D B. The...
7. You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n=18, you determine that b1=4.4 and Sb1=1.7. 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? d. Construct a 95% confidence interval estimate of the population slope, β1. 8. You are testing...
Which one of the following answers is correct? If this null hypothesis H0: B1 = B2 = B3 = 0 is rejected, the interpretation is: a. There is no linear relationship between Y and any of the 3 independent variables b. There is a regression relationship between Y and at least one of the 3 independent variables c. All 3 independent variables have a slope of zero All 3 independent variables have equal slopes d. There is a regression relationship...
statistics help 7) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test ie, describe the values of the test statistic that would result in rejection of the null hypothesis Suppose you wish to test the claim that the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n-15 and a significance level of a-001, what criterion would be used for rejecting the null hypothesis...
A random sample of n - 16 scores is selecdted from a normal population with a mean of p - 50. After atreatment is administered to the individuals in the sample, the sample mean is found to be M -54 If the population standard deviation is σ-8, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α-.05. (Hint: Recall that the critical value for a two-tailed test with α-.05 is...
6. In a regression analysis predicting tourism revenue ($million) using number of tourists (million), the P-value for the calculated test statistic is 0.002. At α=0.01, we I. fail to reject the null hypothesis that regression slope is equal to zero. II. reject the null hypothesis that regression slope is equal to zero. III. conclude that there is a significant relationship between the number of tourists and tourism revenue. IV. conclude that the number of tourists is NOT significant in predicting...
Write the null and alternative hypothesis for each of the following research questions.1. Research Question: Is there a significant relationship between students’ modular compliance, and their geographical location from school?Null Hypothesis:Alternative Hypothesis:2. Research Question: Do teachers’ technological skills affect students’ academic performance?Null Hypothesis:Alternative Hypothesis:3. Research Question: Does the use of social media have an effect on senior high school students’ attention span in class?Null Hypothesis:Alternative Hypothesis:
If you perform a hypothesis test on the population slope Parameter (β1) in regression analysis and reject the Null hypothesis: Ho: β1= 0. Your conclusion would be: A.) The least squares sample regression equation should not be used because there is not sufficient evidence of a relationship between the independent variable and the dependent variable.. B.) The least squares sample regression equation should be used because there is sufficient evidence of a relationship between the independent variable and the dependent...
Suppose you conducted a simple linear regression t-test with a null hypothesis that the slope was positive. You obtained a p-value of 0.023. If you were to conduct an F-test that tested for a linear relationship between the one predictor and response what p-value would you expect to obtain?
Test the Hypotheses Below Null Hypothesis: Mean Student Debt in 2011 is equal to Mean Student Debt in 2007 Alternative Hypothesis: Mean Student Debt in 2011 is not equal to Mean Student Debt in 2007 Alpha Level = 0.05 F-Test Two-Sample for Variances Variable 1 Variable 2 Mean 3925.76 2876.82 Variance 222129.8188 140278.3547 Observations 50 50 df 49 49 F 1.583493186 P(F<=f) one-tail 0.055512364 F Critical one-tail 1.607289463 Run an F-test for two sample variances using an alpha level of...