According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of 1,100 Americans results in 121 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample size n is more than 5% of the population. B. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is nothing, which is not unusual. (Round to four decimal places as needed.) C. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the value of np(1−p) is less than 10. D. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample proportion, is very close to 0.10.
According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of 1,100 Americans results in 121 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample size n is more than 5% of the population. B. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is nothing, which is not unusual. (Round to four decimal places as needed.) C. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the value of np(1−p) is less than 10. D. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample proportion, is very close to 0.10.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of
1,100
Americans results in
121
indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has
increased.
Click here to view the standard normal distribution table (page 1).
LOADING...
Click here to view the standard normal distribution table (page 2).
LOADING...
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
This is not necessarily evidence that the proportion of Americans who are afraid to fly has
increased
above
0.10 because the sample size n is more than 5% of the population.This is not necessarily evidence that the proportion of Americans who are afraid to fly has
increased
above
0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is
nothing,
which is not unusual.(Round to four decimal places as needed.)
This is not necessarily evidence that the proportion of Americans who are afraid to fly has
increased
above
0.10 because the value of
np(1−p)
is less than 10.This is not necessarily evidence that the proportion of Americans who are afraid to fly has
increased
above
0.10 because the sample proportion,
is very close to 0.10.(Type an integer or a decimal.)
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