A statistics teacher predicts that the distribution of grades on the final exam will be 25% A's, 30% B's, 35% C's, and 10% D's. The actual distribution of grades on the final exam for 20 students is as follows. Using a 0.05 level of significance, is the statistics teacher's prediction correct? Grade Number of Students A 7 B 7 C 5 D 1
SCENARIO 6
A statistics teacher predicts that the distribution of grades on the final exam will be 25% A's, 30% B's, 35% C's, and 10% D's. The actual distribution of grades on the final exam for 20 students is as follows. Using a 0.05 level of significance, is the statistics teacher's prediction correct?
Grade | Number of Students |
A | 7 |
B | 7 |
C | 5 |
D | 1 |
Question 38
Which test are you running?
|
Chi-square Goodness of Fit |
|
One mean t-test |
|
ANOVA |
|
One mean z-test |
Question 39
What is the null hypothesis?
|
Ho: The teacher's grade distribution fits the stated distribution: 25% A's, 30% B's, 35% C's, and 10% D's |
|
Ho: The teacher's grade distribution does not fits the stated distribution: 25% A's, 30% B's, 35% C's, and 10% D's |
Question 40
What is the alternative hypothesis?
|
Ha: The teacher's grade distribution fits the stated distribution: 25% A's, 30% B's, 35% C's, and 10% D's |
|
Ha: The teacher's grade distribution does not fit the stated distribution: 25% A's, 30% B's, 35% C's, and 10% D's |
Question 41
What is the test statistic? Round the answer to two decimal places.
Question 42
What is the p-value? Round the answer to three decimal places.
Question 43
What is the conclusion when you compare the p-value and the level of significance (alpha)?
|
Reject the null hypothesis |
|
Fail to reject the null hypothesis |
Question 44
What is the conclusion based on the original claim?
|
At the 0.05 level of significance, the teacher's grade distribution fits the stated distribution: 25% A's, 30% B's, 35% C's, and 10% D's |
|
At the 0.05 level of significance, the teacher's grade distribution does not fit the stated distribution: 25% A's, 30% B's, 35% C's, and 10% D's |
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