Question

Assume that 30.3​% of people have sleepwalked. Assume that in a random sample of 1549 ​adults,...

Assume that 30.3​% of people have sleepwalked. Assume that in a random sample of 1549 ​adults, 509 have sleepwalked.

a. Assuming that the rate of 30.3​% is​ correct, find the probability that 509 or more of the 1549 adults have sleepwalked.

b. Is that result of 509 or more significantly​ high?

c. What does the result suggest about the rate of 30.3​%?

Homework Answers

Answer #1

Given

sample size = n = 1549

x = 509

a)

sample proportion = x / n= 509 /1549 = 0.3286

p = 30.3​% = 0.303

Z = 2.19

P(Z > 2.19) = 0.01426

b)

consider at = 0.05

P-value <

Yes , it is significantly high

c)

It suggest that true percentage of people who sleep walked is greater than 30.3%

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