Sampling Method and P-Values
A sociologist wanted to determine
which academic subject high school students preferred. The hypotheses she
wishes to test are:
Ho: The percentage of female high
school students who prefer mathematics is equal to the percentage of male
students who prefer mathematics.
H1: The percentage of female high
school students who prefer mathematics is lower than the percentage of male
students who prefer mathematics.
Of the 2500 high school students,
1105 were male and 1395 were female. The sociologist randomly selected 150 of
the female high school students and 150 of the male high school students, and
asked the 300 students what academic subject they prefer. Of the 150 female
students, 20% preferred mathematics; of the 150 male students, 30% preferred
mathematics.
a) What sampling method was used
to select the 300 students?
b) Using your TI calculator with a
seed value of 32, identify the label for the first 5 female students.
c) Suppose the p-value for these
test is 0.03. Is the difference in percentages at a 5% level? Explain.
d) Suppose the p-value for this
test is 0.03. Is the difference in percentages significant at a 1% level?
Explain.
e) What is the overall (weighted)
sample proportion of those that preferred mathematics?
ScholarMatic: Explanation & Answer
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