Question

8. If 200 people are randomly selected, what is the probability that more than 25% of them voted in the primary? 0.2004 Jo. 20x0.80 -0.0283 1-P(p<.as). 200 -0.0386 9. In the state of North Carolina, there are 6,674,209 registered voters. In the May 2018 Primary election, 957.627 people voted. What is the population proportion of voters? (Round to the nearest percent) population proportion = 957627 /6:674209 -0.14 10. If a random sample of 30 people from North Carolina is taken, what is the probability that 16% of them voted? 11. If a random sample of 100 people from North Carolina is taken, what is the probability that more than 25% of them voted? 12. If a random sample of 100 people from North Carolina is taken, what is the probability that the proportion of people in the sample who voted differs from the population proportion by more than 2%? 13. If a random sample of 100 people from North Carolina is taken, what is the probability that the proportion of people in the sample who voted differs from the population proportion by less than 1%?

Answer 1

10. p = 0.16

n = 30

Test statistic, z = p/sqrt(p(1-p)/n

= 0.16-0.20/sqrt(0.20*0.80/30) = -2.58

The probability is 0.0050.

11. p = 0.25

n = 100

Test statistic, z = p/sqrt(p(1-p)/n

= 0.25-0.20/sqrt(0.20*0.80/100) = -4.75

The probability is 1.0000.

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