Question

Hypothesis Testing Topic Questions

Answer each question to the best of your ability. Each question is worth 14 points. Use correct annotation.

Use the following scenario to answer all questions

Susie teaches a fourth grade science class. She wants to get a better idea of how much the students are learning in her class. This year, she has decided to give her students a baseline test (test 1) at the beginning-of-the fall semester and another test at the end-of-the semester (test 2).

1.What means are being compared?

2.State the H_O.

3.State the two-tailed H₁.

4.If Suzie believes students will perform better on the second test, what is the one-tailed H₁?

5.What level of significance would you select for this problem (state both α and confidence intervals)? Use the level of significance that is typical in education research.

6.If Susie analyzes using a computer program and the value in the “Sig.” box is .040, did she reject or fail-to-reject the H_O? Assume the confidence intervals from question #5.

7.If Susie undertakes this research and finds there is a difference between the mean scores of test 1 and test 2, when there in fact is no difference, what type of error occurred?

Answer 1

1) susie is trying to draw a statistical inference about how much her class students are learning. to examine reliabilty she is using test- retest method in order to compare means, the key to any statistical inference is to see what sample value occurs by chance on repetation. here susie just want to know take test on 2 different occassion in order to know whether results for first time occur by chance or not.

2) HO for this would be - there is no significant difference between the scores of students on test 1 and test 2.

3) two tailed H1 would be - there will be a significant difference between the scores of students on test 1 and test 2

4) one tailled H1 - student will score greater marks in test 2 rather than in test 1

5) we will use 5% significance levelwhere alpha will be equal to 0.05 and confidence level will be 0.95

6)she will reject the null hypothesis and accept the alternative hypothesis.

7) type 2 error occured