Assume that26.6%of people have sleepwalked. Assume that in a random sample of1517​adults,418have sleepwalked.a. Assuming that the rate of26.6%is​ correct, find the probability that418or more of the1517adults have sleepwalked.b. Is that result of418or more significantly​ high?c. What does the result suggest about the rate of26.6​%?

Question
Asked Oct 20, 2019
Assume that
26.6%
of people have sleepwalked. Assume that in a random sample of
1517
​adults,
418
have sleepwalked.
a. Assuming that the rate of
26.6%
is​ correct, find the probability that
418
or more of the
1517
adults have sleepwalked.
b. Is that result of
418
or more significantly​ high?
c. What does the result suggest about the rate of
26.6​%?
check_circleExpert Solution
Step 1

It is given that p is 0.266 and n is 1,517.

Step 2

The mean and standard deviation using normal approximation to binomial are 403.522 (=1,517*0.266) and 17.210 (=sqrt(1,517*0.266*0.734))....

P(X 418) P(X > 418-0.5)
=P(X 417.5)
X-403.522417.5-403.522
=P
17.21
17.21
-P(>0.81)
0.7910 .Using standard normal table
help_outline

Image Transcriptionclose

P(X 418) P(X > 418-0.5) =P(X 417.5) X-403.522417.5-403.522 =P 17.21 17.21 -P(>0.81) 0.7910 .Using standard normal table

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The Bank of Hawaii reports that 7% of its credit card holders will default at some time in their lif...

A: Click to see the answer

question_answer

Q: You estimate a regression equation that estimates individuals’ yearly income as a function of age (m...

A: The provided estimated regression equation is,I = 26.3+4.21×Age+7.21×Education+0.23×IQ

question_answer

Q: Eric wants to estimate the percentage of elementary school children who have a social media account....

A: The formula for the 99% confidence interval for the proportion is given below:

question_answer

Q: Children with autism differ significantly from children without autism on tests of varbal ability.  ...

A: Introduction:Independent samples t-test:When the mean values of two independently distributed popula...

question_answer

Q: According to the stock index, the return from January 2014 to December 2014 shows the average of 7% ...

A: Hello there! I see that there are multiple subparts in the question. According to our policies I can...

question_answer

Q: According to a study done by a university​ student, the probability a randomly selected individual w...

A: c) From the given information, the probability a randomly selected individual will not cover his or ...

question_answer

Q: The lifetime of a particular component is normally distributed with a mean of 1000 hours and a stand...

A: The 30th percentile for the is obtained by using the Excel function “=Norm.INV(Probability,mean, Sta...

question_answer

Q: A special deck of cards has 5 green cards , and 3 yellow cards. The green cards are numbered 1, 2, 3...

A: According to the provided data, there are 5 green cards and 3 yellow cards.The green cards are numbe...

question_answer

Q: An experiment consists of first rolling a die and then tossing a coin: a. How many elements are ther...

A: a.The rolling of a die has six faces.Tossing a fair coin has two possible ououtcomes.Since an experi...