To test the effectiveness of a lesson, a teacher gives randomly selected students a pretest and follow-up test. The results are given below.
Student | A | B | C | D | E | F | G | H |
---|---|---|---|---|---|---|---|---|
Before | 6 | 8 | 5 | 4 | 3 | 5 | 4 | 7 |
After | 9 | 10 | 8 | 7 | 6 | 8 | 7 | 10 |
(a) At the 0.025 significance level, test the claim that the lesson was effective.
Original claim is made by Answer hypothesis.
Original claim is: ud Answer 0.
Test statistic: Answer
Critical value: Answer
P-value: Answer
Initial conclusion: We Answer the null hypothesis.
Final conclusion: There Answert enough evidence to support the
claim.
(b) Construct a 95% confidence interval for the difference between
the two proportions.
Answer< pmen - pwomen<Answer
No data was given for part (b).
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