Sampling distribution of under the assumption that
p=0.5 is true: 200 SRS of size n = 50.
0.30 0.34 0.38 0.42 0.46 0.50 0.54 0.58 0.62 0.66 0.70
p= Simulated sample proportion of
students who do not get enough sleep
David conducts his own study. He selects a random
sample of 50 students and asks if they are getting 9
hours of sleep per night. Thirty of the 50 students are
not getting enough sleep.
Does David's sample result provide convincing
evidence that more than 50% of all students at the
school are not getting enough sleep?
OYes, it is rare to find a sample result of 0.6 or
greater if 0.5 is true. Only 19 out of 200 or a
proportion of 0.095 of the simulated random
samples are 0.6 or greater.
O No, it is not rare to find a sample result of 0.6 or
greater if 0.5 is true. In fact, 19 out of 200 or a
proportion of 0.095 of the simulated random
samples are 0.6 or greater
OYes, a sample result of 0.6 proves the population
proportion cannot be 0.5.
Done