An instructor believes that 5% of students will earn an F, 15% will earn a D, 20% will score earn a C, 40% will earn a B, and 20% will earn an A. Use the information below gathered from a random sample of 100 students to determine whether or not the grades were distributed according to the instructor’s thoughts. Check your conditions, write your hypotheses, perform the test, find the test statistic, the p-value, and state your conclusion. Assume a significance level of � = 0.05. Include your expected counts next to the observed counts
An instructor believes that 5% of students will earn an F, 15% will earn a D, 20% will
score earn a C, 40% will earn a B, and 20% will earn an A. Use the information below
gathered from a random sample of 100 students to determine whether or not the
grades were distributed according to the instructor’s thoughts. Check your conditions,
write your hypotheses, perform the test, find the test statistic, the p-value, and state
your conclusion. Assume a significance level of � = 0.05. Include your expected counts
next to the observed counts.
AP Statistics Score | Count (Observed) | Expected |
F | 6 | |
D | 13 | |
C | 19 | |
B | 36 | |
A | 26 |
a) Write your hypotheses.
b) Use your calculator to determine the test statistic and p-value.
c) Use the provided significance level to write an appropriate conclusion.
d) Check the necessary conditions for running this hypothesis test.
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