Survey Analysis— Imagine the following fictional survey, in which a researcher s
ID: 3056379 • Letter: S
Question
Survey Analysis— Imagine the following fictional survey, in which a researcher
surveys local high school teachers. The researcher asks each teacher
two questions:
Was your teacher preparation through a regular or an alternative certification
program?
b. Which one of the following five areas were you least prepared for when
you began teaching:
A Subject matter knowledge
B Classroom management
C Assessment techniques
D Inquiry-based teaching
E Coping with demanding work schedule
The researcher is interested in knowing whether teachers trained in regular
and alternative certification programs perceive their programs as having
different weaknesses.
c. What is the Null Hypothesis for this study?
d. The following table shows the number of teachers, broken down by their
preparation type, and the aspect of teaching they said they were least prepared
for. This type of data is perfect for a Â2 test in the form of Equation
(3.76) because there are multiple categories of answers.
Observed Numbers
Preparation Area A B C D E
Regular Certification 19 20 11 16 34
Alternative Certification 67 36 20 36 41
e./Following the logic in of the example on page 105, fill in the following
chart:
Observed Numbers
Preparation Area A B C D E
All 86
f. Convert these numbers into proportions. For instance, the total proportion
of teachers answering “subject matter knowledge” is 0.2866. Fill in the rest of the following table:
Observed Proportions
Preparation Area A B C D E
All 0.287
g. Fill in the following table of expected values:
Expected Proportions
Preparation Area A B C D E
Regular Certification 28.66
Alternative Certification
h. Compute X^2.
i. Compute the probability p that X^2 would be this large or larger by chance alone.
j. What conclusion does one draw about regularly and alternatively certified teachers?
Explanation / Answer
(c) c. What is the Null Hypothesis for this study?
null hypothesis: teachers trained in regular and alternative certification programs does not dependes on perceive their programs as having different weaknesses.
alternate hypothesis :teachers trained in regular and alternative certification programs perceive their programs as having different weaknesses.
(e)
(g)
E(19)=86*100/300=28.67, E( 67)=86*200/300, E(20)=56*100/300=18.67,....., E(41)=75*200/300=50
(h) chi-square=sum(O-E)2/E=10.11 with (r-1)(c-1)=(2-1)*(5-1)=4 df
(i) probability=p=p-value=0.0386 ( using ms-excel =CHIDIST(10.11,4) )
(j) reject the null hypothesis at alpha=0.05, and conclude that teachers trained in regular and alternative certification programs perceive their programs as having different weaknesses.
Observed number Prepartion area A B C D E All 86 56 31 52 75Related Questions
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