In a one-tailed t-test, the null hypothesis is H0: population β1≥0. If the test statistic = – 1.529, and the critical value you find from the t-table is 2.164, do you reject the null hypothesis?
Solution:
Given that,
test statistic = – 1.529
critical value = 2.164
Since it is observed that |t| = 1.529
critical value
= 2.164 , it is then concluded that the null hypothesis is fails to
reject.
In a one-tailed t-test, the null hypothesis is H0: population β1≥0. If the test statistic =...
Suppose we do not reject the t-test null hypothesis of H0: β1 = 0 for a regression. In this case, we think there is evidence that the X variable values help explain the Y variable values. True or False
Use the following set of points to test the null hypothesis H0: β1=0 versus H1: β1 ≠ 0. Use the critical value method with the α=0.05 level of significance. The slope of the regression line for this data is computed to be b1=-0.13834, and the standard error of b1 is computed to be sb=0.264048.x15173221210y81617161717Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.Critical value(s):
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
1. What are null hypothesis and alternative hypothesis? 2. Inastatisticaltest,wehavethechoiceofatwo-tailedtest,aleft- tailed test, or a right-tailed test. Which hypothesis is the determining factor for choosing the direction of the test? (In other words, how would you decide it) 3. Forthesamesampledataandnullhypothesis,howdoesthe P-value for a two-tailed test compare to that for a one-tailed test? 4. Using P-value method, how would you reject or fail to reject the null hypothesis? (what is the decision criteria?) How does level of significance matter to the hypothesis...
(a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? pick one The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails. The P-value for a one-tailed test is larger because the two-tailed test includes the area in only one tail. The P-value for a one-tailed test is larger because the two-tailed test includes the...
In a right tailed hypothesis testing, critical value is 1.5 and test statistic was found to be 1.8. Then Select one: a. we will NOT reject the null hypothesis. b. we will reject the alternative hypothesis. c. we will reject the null hypothesis. d. we will need more information to make the decision.
6. Decision Regarding Null Hypothesis If your observed test statistic (e.g., z or t) falls in the critical region, then you should_______________. (choose one) Reject the alternative hypothesis Reject the null hypothesis Do not reject the null hypothesis Change majors
You are completing a hypothesis test. You know the following items: The test is a two-tailed test. The critical value for the test is + 2.763 The standardized test statistic is -2.768 Assume the population is normally distributed. Decide whether to reject or fail to reject the null hypothesis.
Complete the problem below on conducting one sample t-test using the steps in hypothesis testing. A researcher in interested in whether students who are musicians have higher intelligence test scores than students in the general population. The mean for the general population is 100. The researcher selects 30 musicians from local high schools and gives them an intelligence test, with a mean of 105. SS = 725 for the sample. m = _______ M = _________ n = _______ s2...
For the folowing claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The mean IQ score of statistics professors is less than 119. Sample data: n 11, x 117, s 14. The significance level is ?-005 Click the icon to view a table of critical t-values. a. Choose the correct null hypothesis (Ho) and altenative hypothesis...