Question

Regents are certain about the ineffectiveness of the Orange Grove Preschool reading program. The average reading comprehension score is 25 for children of comparative age. The data below are reading comprehension scores from a sample of children from Orange Grove Preschool. Scores range from 0 - 40 with higher scores indicating better reading comprehension. What can be concluded with α = 0.01?

id	reading
35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 18	27 33 38 17 19 27 29 18 21 35 18 28 23 22 24 20 35 24 17 16

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- Orange Grove Preschool children of comparative age reading Regents reading comprehension scores
Sample:
---Select--- Orange Grove Preschool children of comparative age reading Regents reading comprehension scores

c) Input the appropriate value(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

Orange Grove Preschool has a significantly effective reading program.Orange Grove Preschool has a significantly ineffective reading program.    Orange Grove Preschool reading program does not have a significant effect.

Answer 1

a) What is the appropriate test statistic?
One-Sample t-test
b)
Population:
reading comprehension scores
Sample:
Orange Grove Preschool children of comparative
c) Input the appropriate value(s) to make a decision about H₀.

H₀: µ = 25

H_a: µ > 25

p-value = 0.6159; Decision: Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ; large effect
r² =  ; small effect
e) Make an interpretation based on the results.

Orange Grove Preschool reading program does not have a significant effect.