Question
In: Statistics and Probability
Assume that 20.3% of people have sleepwalked. Assume that in a random sample of 1467 adults,...
Assume that 20.3% of people have sleepwalked. Assume that in a random sample of 1467 adults, 314 have sleepwalked.
a. Assuming that the rate of 20.3% is correct, find the probability that 314 or more of the 1467 adults have sleepwalked.
b. Is that result of 314 or more significantly high?
c. What does the result suggest about the rate of 20.3%?
Solutions
Expert Solution
Population proportion, p = 0.203
Sample size, n = 1467
P(X < A) = P(Z < (A - 
)/
)
= np
= 1467x0.203
= 297.801
= 
= 
= 15.406
a. P(314 or more of the 1467 adults have sleepwalked) = P(X
314)
= 1 - P(X < 313.5) (with continuity correction)
= 1 - P(Z < (313.5 - 297.801)/15.406)
= 1 - P(Z < 1.02)
= 1 - 0.8461
= 0.1539
b. The probability of 314 or more is not less than 0.05. Therefore, it is not significantly high.
c. We do not have enough evidence to suspect that the rate of 20.3% is wrong.
orchestra answered 2 years agoRelated Solutions
Assume that .333.3% of people have sleepwalked. Assume that in a random sample of 1488 adults,...
Assume that
.333.3%
of people have sleepwalked. Assume that in a random sample
of
1488
adults,
534
have sleepwalked.a. Assuming that the rate of
333.3%
is correct, find the probability that
534
or more of the
1488
adults have sleepwalked.b. Is that result of
534
or more significantly high?c. What does the result suggest
about the rate of
333.3%?
a. Assuming that the rate of
333.3%
is correct, the probability that
534
or more of the
1488
adults have sleepwalked...
Assume that 23.6% of people have sleepwalked. Assume that in a random sample of 1505 adults,...
Assume that 23.6% of people have sleepwalked. Assume that in a
random sample of 1505 adults, 400 have sleepwalked.
1. a. Assuming that the rate of 23.6% is correct, the
probability that 400 or more of the 1505 adults have sleepwalked is
[ ]
b. Is that result of 611 or more significantly high?
c. What does the result suggest about the rate of
23.6%?
2. In a study of 437 comma 485 cell phone users, it was found
that 54...
Assume that 38.7% of people have sleepwalked. Assume that in a random sample of 1527 adults,...
Assume that 38.7% of people have sleepwalked. Assume that in a
random sample of 1527 adults, 604 have sleepwalked.
a. Assuming that the rate of 38.7% is correct, find the
probability that 604or more of the 1527adults have sleepwalked.
b. Is that result of 604 or more significantly high?
c. What does the result suggest about the rate of 38.7%?
ssume that 32.632.6% of people have sleepwalked. Assume that in a random sample of 15011501 adults,...
ssume that
32.632.6%
of people have sleepwalked. Assume that in a random sample
of
15011501
adults,
532532
have sleepwalked.a. Assuming that the rate
of
32.632.6%
is correct, find the probability that
532532
or more of the
15011501
adults have sleepwalked.b. Is that result
of
532532
or more significantly high?c. What does the
result suggest about the rate of
32.632.6%?
a. Assuming that the rate of
32.632.6%
is correct, the probability that
532532
or more of the
15011501
adults have sleepwalked...
In 2012, the General Social Survey asked a random sample of adults, "Compared to most people,...
In 2012, the General Social Survey asked a random sample of
adults, "Compared to most people, how informed are you about
politics?" Suppose that the following are the data classified by
their responses to this question and their age group (the data has
been modified slightly for testing purposes):
Not at All
A little
Somewhat
Very
Extremely
Age 20-29
7
29
28
13
0
Age 30-39
16
29
56
22
8
Age 40-49
3
24
50
26
14
Age 50...
Mimi conducted a survey on a random sample of 100 adults. 58 adults in the sample...
Mimi conducted a survey on a random sample of 100 adults. 58
adults in the sample chose banana as his / her favorite fruit.
Construct a 95% confidence interval estimate of the proportion of
adults whose favorite fruit is banana. Show all work. Just the
answer, without supporting work, will receive no credit.
The waiting times (in minutes) of a random sample of 20 people at a bank have...
The waiting times (in minutes) of a random sample of 20 people
at a bank have a sample standard deviation of 3.4 minutes.
Construct a confidence interval for the population variance sigma
squared and the population standard deviation sigma. Use a 90 %
level of confidence. Assume the sample is from a normally
distributed population.
In a random sample of 1,000 people, it is found that 7.7% have a liver ailment....
In a random sample of 1,000 people, it is found that 7.7% have a
liver ailment. Of those who have a liver ailment, 6% are heavy
drinkers, 55% are moderate drinkers, and 39% are nondrinkers. Of
those who do not have a liver ailment, 9% are heavy drinkers, 45%
are moderate drinkers, and 46% are nondrinkers. If a person is
chosen at random, and he or she is a heavy drinker, what is the
probability of that person having a...
A 2020 Pew Research survey asked a random sample of 4860 American adults if they have...
A 2020 Pew Research survey asked a random sample of 4860
American adults if they have ever used online dating (website or
mobile app) and found that 30 percent of respondents had ever done
so.
Q1
Which math symbol(s) would represent the cited value 30
percent?
mm
nn
x¯x¯
x¯1−x¯2x¯1−x¯2
σσ
CC
zz
μdiffμdiff
μμ
tt
p^p^
x¯diffx¯diff
μ1−μ2μ1−μ2
Q2
(Please answer very clear and detail)
Obtain a 95% confidence interval estimating the prevalence
(rate) of online dating among American...
According to a recent study, 22.6% of adults are smokers. A random sample of 300 adults...
According to a recent study, 22.6% of adults are smokers. A
random sample of 300 adults is obtained. Describe the sampling
distribution of the sample proportion of adults who smoke. In a
random sample of 300 adults, what is the probability that at least
50 are smokers? Would it be unusual if a random sample of 300
adults resulted in 17% or less being smokers?
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Your friend is looking for investors in a risky business venture. To convince you to participate,...
- Suppose you observe the following situation: State of Economy Probability of State Return if State Occurs...
- Merger Analysis TransWorld Communications Inc., a large telecommunications company, is evaluating the possible acquisition of Georgia...
- Journal Entries and Trial Balance Elite Realty acts as an agent in buying, selling, renting, and...
- In racket Assume that the elements of a list are indexed starting with 1. Write a...
- Describe System Development Life Cycle (SDLC) and how it is used.
- What symbolism do you find in the play,Oedipus?
ADVERTISEMENT