7. For the past several years, the mean literacy-achievement score for a population of third-grade students has been 45 with a population standard deviation of 15. A researcher is interested in whether an experimental teaching program is more or less effective than current teaching methods for literacy. After participating in the experimental teaching program, a random sample of 100 students had a mean score of 48.75.

(8 marks)Formulate and test the appropriate hypotheses using the -value p approach. Would you reject the null hypothesis 0.05 at = ? What would be your conclusion, explained within the context of the test?

(2 marks)Would you reject the null hypothesis0.01 at = ? What would be your conclusion, explained within the context of the test?

(1 mark)How strong is the evidence against 0 H ? (Hint: Refer to Unit 4, Section 7, in the Study Guide)