A poll shows that 50% of students play sports. A random sample of 20 students showed that 70% of them play sports. A number gene
rator was used to simulate 20 samples from a population in which 50% of students play sports. The results are shown in the dot plot. What is the chance of getting a sample proportion of 70% or greater?
2 answers:
Answer:
Pr(≥ 70%) = 2/5 = 0.4
Step-by-step explanation:
This question is incomplete as we can't get an exact answer without the dot plot diagram.
We can tell from the question, we are to determine the probability of having ≥ 70% students that play sports
The dot plot diagram used in solving the question has been attached.
Total number of samples = 20
From the dot plot, 50% of students play sport. That is, 50% have more people playing sport than others.
The chance of getting a sample proportion of 70% or greater= probability of students that like sports ≥ 70%
= (sum of people that like sports ≥ 70%)/(total number of sample)
Pr(≥ 70%) = (4+3+1)/20
Where Pr = probability
Pr(≥ 70%) = 8/20
Pr(≥ 70%) = 2/5 = 0.4
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