#1) There are two approaches to make decision about the rejection of H0
Critical value approach :
For left tail test , if test statistic is less than the critical value , then reject H0, otherwise fail to reject H0.
For right tail test , if test statistic is greater than the critical value , then reject H0, otherwise fail to reject H0.
For two tail test , if test statistic is fall outside the critical values , then reject H0, otherwise fail to reject H0.
P- value approach :
After finding the p- value of the test ,we use the following decision rule to make decision about rejection of H0
Decision rule :
Reject H0, if p-value (≤ ) less than or equal to
α.
Or Do not reject H0, if p-value (>) greater than
α.
#2) When we reject the H0, on the basis of critical value or p- value approach, we supposed to accept alternative hypothesis Ha which is based on the claim or hypothesis made by the researcher, so we can conclude that there is sufficient evidence to support the claim.
When we do not reject the H0, on the basis of critical value or p- value approach, we supposed to accept null hypothesis H0which is counter or opposite to the claim or hypothesis made by the researcher, so we can conclude that there is no sufficient evidence to support the claim.
For example :
Claim : average score of the class is greater than 60
So H0 : Average score of the class is equal to 60 or µ = 60
Ha : Average score of the class is greater than 60 or µ > 60
If we rejected the H0, on the basis of critical value or p- value approach, we supposed to accept alternative hypothesis Ha that average score of the class is greater than 60 ,so we can conclude that there is sufficient evidence to support the claim.
If we do not reject the H0, on the basis of critical value or p- value approach, we supposed to accept null hypothesis H0 average score of the class is equal to 60 , so we can conclude that there is no sufficient evidence to support the claim.
How do we determine if we reject or fail to reject a null hypothesis? What are the key pieces nee...
1. a What is a hypothesis test? What is it used for? How are the null and alternative hypothesis determined? . What are the 3 ways to set up hypotheses? C. Why can't we "accept” a null hypothesis? d. How do we determine if we reject or fail to reject a nuil hypothesis? e. What are the key pieces needed when writing a conclusion? f. Describe the difference between statistically significant and practically significant.
A Type II error occurs in hypothesis testing when we _____________________________. fail to reject the null hypothesis and the null hypothesis is not true reject the null hypothesis and the null hypothesis is true fail to reject the alternative hypothesis and the alternative hypothesis is not true reject the alternative hypothesis and the alternative hypothesis is true
What can you conclude if we fail to reject the null hypothesis for two individual variables, but reject the null hypothesis for the two joint variables?
Please explain it with proper reasoning. 3. The following statements are very important. Give them some careful thought and discuss them (a) When we fail to reject the null hypothesis, we do not claim that it is abso- lutely true. We simply claim that at the given level of significance, the data were not sufficient to reject the null hypothesis (b) When we accept the alternate hypothesis, we do not claim that the null hypothesis is absolutely false. We do...
r joint null hypothesis test statistic comes . If ou out to be greater than the relevant critical value, do we reject or fail to reject the joint null hypothesis? S&W Chapter 9 -Assessing Studies Based on Multiple Regression 21. In the S&W format, list the five sources of bias in the estimated coefficients outlined in the text and describe each with a few words. r joint null hypothesis test statistic comes . If ou out to be greater than...
A type I error is where we reject a true null hypothesis (Ho). a. True b. False A type II error is where we fail to reject a false null hypothesis (Ho). a. True b. False A claim may go in either in the Ho (null hypothesis) or Ha (H1, alternate hypothesis) depending on the key words in the statistical word problem. a. True b. False
Step 2: Reject Null hypothesis or Fail to reject null hypothesis Given the following information: ni = 3, s} = 53.042, n2 = 41, sź = 49.708, H4:01 > ož, a = 0.05 Copy Data Step 1 of 2: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places. 5 Tables Keypad Answer How to enter your answer Submit Answer
QUESTION 1 A type Il error occurs if we fail to reject the null hypothesis when it is false. True False QUESTION 2
Step 2 of 2: Make a decision. Reject the null hypothesis for fail to reject the null hypothesis Given the following information: nj = 31,5 = 31.731, n2 = 19. s = 58.94. He: 0 < 62. a = 0.01 Copy Data Step 1 of 2: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.
O A. Because the p-value is less than a, we reject the null hypothesis and conclude that the average det load is equal to $17,000 O B. Because the p-vakus is greafer than a we fail to reject the nu ○ C. Because the p-value is greater than a we fail to reject the nul hypothesis and cannot co clude that he OD. Because the pvalue is lesse an Suppose that the Department of Education would like to test the...