Conduct a Hypothesis Test for Proportion - PValue Approach
Week 7
1. A teacher claims that the proportion of students expected to pass an
exam is greater than 80%. To test this claim, the teacher administers the
test
...
Conduct a Hypothesis Test for Proportion - PValue Approach
Week 7
1. A teacher claims that the proportion of students expected to pass an
exam is greater than 80%. To test this claim, the teacher administers the
test to 200 random students and determines that 151 students pass the
exam.
The following is the setup for this hypothesis test:
H0:p=0.80
Ha:p>0.80
In this example, the p-value was determined to be 0.944.
Come to a conclusion and interpret the results for this hypothesis test for a
proportion (use a significance level of 5%)
The decision is to fail to reject the Null Hypothesis.
The conclusion is that there is not enough evidence to support the claim.
2. A hospital administrator claims that the proportion of knee surgeries that
are successful is 87%. To test this claim, a random sample of 450 patients
who underwent knee surgery is taken and it is determined that 371 of these
patients had a successful knee surgery operation.
The following is the setup for this hypothesis test:
H0:p=0.87
Ha:p≠0.87
In this example, the p-value was determined to be 0.004.
Come to a conclusion and interpret the results for this hypothesis test for a
proportion (use a significance level of 5%)
the decision is to reject the Null Hypothesis.
The conclusion is that there is enough evidence to reject the claim.
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3. A college administrator claims that the proportion of students that are
nursing majors is greater than 40%. To test this claim, a group of 400
students are randomly selected and its determined that 190 are nursing
majors.
The following is the setup for this hypothesis test:
H0:p=0.40
Ha:p>0.40
Find the p-value for this hypothesis test for a proportion and round your
answer to 3 decimal places.
The following table can be utilized which provides areas under the Standard
Normal Curve:
0.001.
4. A police officer claims that the proportion of accidents that occur in the
daytime (versus nighttime) at a certain intersection is 35%. To test this
claim, a random sample of 500 accidents at this intersection was examined
from police records it is determined that 156 accidents occurred in the
daytime.
The following is the setup for this hypothesis test:
H0:p = 0.35
Ha:p ≠ 0.35
Find the p-value for this hypothesis test for a proportion and round your
answer to 3 decimal places.
0.076
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