Mathematics, 04.05.2021 20:00 shels10tay
Estimating P-values
A large school district knows that 75% of students in previous years rode the bus to school. Administrators wondered if that figure was still accurate, so they took a random sample of n=80 students and found that p^=65% of those sampled rode the bus to school.
To see how likely a sample like this was to happen by random chance alone, the school district performed a simulation. They simulated 120 samples of n=80 students from a large population where 75% of the students rode the bus to school. They recorded the proportion of students who rode the bus in each sample. Here are the sample proportions from their 120 samples:
They want to test H0:p=75% vs. Ha:p≠75% where p is the true proportion of students in this district that ride the bus to school.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=65%.
Answers: 1
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