Question

You are interested in the development of numeracy in childhood and want to understand the impact a child attending preschool has on their understanding of numbers. You believe that preschool can strongly improve a child’s numeracy skills. You collect data from 8 children using a numeracy measure where an increased score indicates increased numerical ability. You collect data from each child before they start preschool as well as after they complete preschool.

A. Write out your null and alternative hypotheses.

B. Conduct the statistical test using alpha .05

C. Determine whether the result is significant or not and make your decision regarding the null hypothesis.

D. Explain your finding in terms of your research question. In other words, what has this shown us about preschool and numeracy?

Student      Before preschool     After preschool

1                             45                        43

2                             33                        39

3                             46                        50

4                             49                        49

5                             28                        31

6                             43                        46

7                             36                        34

8                             37                        38

Answer 1

This is a paired sample T test.

a-c)

d) Since we fail to reject the null hypothesis we have no evidence that preschool can improve a child’s numeracy skills