methods of teaching reading to elementary students                                                                         MAT 216     GHA 2

This GHA covers material from OCR Chapters 10 and 12.  Chapter 10 introduced three hypothesis tests:  the Pooled t-test, the Non-pooled t-test and the Paired t-test.  Chapter 12 introduced two hypothesis tests:  the Chi-Square Goodness-of-Fit test and the Chi Square Test for Independence.  For each of the two problems below, perform the appropriate test by hand and support your answer with Excel.  Be neat!  Each question is worth 50 points.  Good luck.

1.    Researchers conducted a survey of parents of 66  kindergarten children.  The parents were asked whether they played games with their children.  The parents were divided into two groups: working class and middle class. The researchers wanted to know if there was an association between the frequency with which parents played games with their children and their social class.    The following data were obtained:

Frequency of Games
Never    Sometimes    Often    Total
Middle Class    2    8    22    32
Working Class    11    10    13    34
Total    13    18    35    66

a)    Perform a hypothesis test using the six-step critical value approach.  Show all work. Be sure to include your interpretation of results in the final step.   Test using a = .05.
b)    Attach an Excel printout that supports your hypothesis conclusion.

2.    A new method of teaching reading to elementary students is being compared to the current standard method.  Eight pairs of students with similar reading IQ’s are found and one member of each pair is randomly assigned to the new method while the other is assigned to the standard method.  Do the data in the table below support the hypothesis  that the population mean test score for students taught by the new method (µ1 )  is greater than the mean reading test score for those taught by the standard method (µ2 ).   Test using a = .05.

READING TEST SCORES FOR EIGHT PAIRS OF STUDENTS
PAIR             NEW METHOD               STANDARD SCORE
1                                  77            72
2        74            68
3        82            76
4        73            68
5        87            84
6        69            68
7        66            81
8        80            76

a)    Perform a hypothesis test using the six-step method.  Show all work. Be sure to include your interpretation of results in the final step.
b)    Attach an Excel printout that supports your hypothesis conclusion.