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Chris D.

asked • 06/02/20

what can you conclude?

A polling company claims 38% of U.S. adults get at least 8 hours of sleep each night. You simulate choosing 80 random samples of size 50 using a random number generator on a graphing calculator. You generate 50 random numbers from 0 to 99 for each sample. You let the numbers 1 through 38 represent adults who get at least 8 hours of sleep each night. The dot plot shows the distribution of the sample proportions. What can you conclude about the accuracy of the claim that the population proportion is 0.38 when you survey 50 U.S. adults and 11 adults in your survey say they get at least 8 hours of sleep each night?

Note that 11 out of 50 corresponds to a sample proportion of ---. In the simulation, this result occurred in --- of the 80 random samples.


It is (not likely/likely) that 11 adults out of 50 would say they get at least 8 hours of sleep each night when the true population percentage is 38%. So, you can conclude that the company's claim is probably (not accurate/accurate).

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