Which of the following is the correct t critical value for:H0: µ > µ0, H1: µ < µ0, p < .01, n= 38Question 19Answera.2.429b.-2.715c.-1.687d.-2.431
Question
Which of the following is the correct t critical value for:H0: µ > µ0, H1: µ < µ0, p < .01, n= 38Question 19Answera.2.429b.-2.715c.-1.687d.-2.431
Solution
The correct answer is b. -2.715.
Here's the step-by-step process:
-
Identify the type of test: This is a one-tailed t-test because the alternative hypothesis (H1) is µ < µ0, which means we're only looking at one direction (less than).
-
Identify the significance level: The problem states that p < .01, which means the significance level (α) is .01.
-
Identify the degrees of freedom: The degrees of freedom for a t-test is the sample size (n) minus 1. So in this case, it's 38 - 1 = 37.
-
Look up the t critical value: Using a t-table, you would look for the row with 37 degrees of freedom and the column for a one-tailed test with α = .01. The value you find is -2.715.
So, the correct answer is b. -2.715.
Similar Questions
Find the critical value for H0: 𝜇=20, Ha: 𝜇<20,𝛼=0.05
If the calculated value of the t statistic is greater than the critical value – the null hypothesis – H0 is rejected in favour of the alternative hypothesis, H1.Question 4Select one:TrueFalse
A sample of 20 is selected from the population. To determine the appropriate the critical t-value, what number of degrees of freedom should be used?Select one:A. 21B. InfinityC. 20D. 19
tsTAT=1.73 (Round to two decimal places as needed.) What is/are the critical value(s)?Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed. ○A. ta= OB. a/2=±2.07 What is the correct conclusion? OA.Do not reject Ho.There is sufficient evidence of a difference in mean time required to start a business. O B.Reject Ho.There is insufficient evidence of a difference in mean time required to start a business. OC.Reject Ho.There is sufficient evidence of a difference in mean time required to start a business. O D.Do not reject Ho.There is insufficient evidence of a difference in mean time required to start a
Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p < 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.01. What is the critical value for this test? Question 4Select one:a.1.96b.-1.96c.2.3263d.-2.3263
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.