Question

According to a study conducted by an​ organization, the proportion of Americans who were afraid to...

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 1,300 Americans results in 143 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.

A. 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 ___

which is not unusual.

​(Round to four decimal places as​ needed.)

B.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.

C.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.)

D.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(1minus−​p) is less than 10.

Homework Answers

Answer #1
n= 1300 p= 0.1000
here mean of distribution=μ=np= 130.00
and standard deviation σ=sqrt(np(1-p))= 10.82
for normal distribution z score =(X-μ)/σx
therefore from normal approximation of binomial distribution and continuity correction:
probability =P(X>142.5)=P(Z>(142.5-130)/10.817)=P(Z>1.16)=1-P(Z<1.16)=1-0.877=0.1230

option A is correct

his 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 0.1230 which is not unusual.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to a study conducted by an​ organization, the proportion of Americans who were afraid to...
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 comma 1001,100 Americans results in 9999 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 decreaseddecreased. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A.This is not necessarily evidence...
According to a study conducted by an​ organization, the proportion of Americans who were afraid to...
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 99 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 decreased. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. This is not necessarily evidence that...
According to a study conducted by a statistical organization, the proportion of Americans who are satisfied...
According to a study conducted by a statistical organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.66. Suppose that a random sample of 205 Americans is obtained, a. About 69% of the samples will contain more than x Americans who are satisfied with their lives. Find the x. b. What is the probability that at least 140 Americans in the sample are satisfied with their lives? c. What is the...
Suppose the lengths of pregnancies of a certain animal are approximately normally distributed with mean ?...
Suppose the lengths of pregnancies of a certain animal are approximately normally distributed with mean ? = 240 days and ? = 18 days. a. What is the probability that a randomly selected pregnancy lasts less than 233 days? b. Suppose a random sample of 17 pregnancies is obtained. Describe the mean and standard deviation of the distribution of the sample mean length of pregnancies. c. What is the probability that a random sample of 17 pregnancies has a mean...
According to a study conducted by a statistical​ organization, the proportion of people who are satisfied...
According to a study conducted by a statistical​ organization, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose that a random sample of 100 people is obtained. Complete parts​ (a) and​ (b) below. ​(a)  What is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.88​? The probability that the proportion who are satisfied with the way things are going in...
Recently, the number of children Americans have has dropped. The Gallup Poll organization wanted to know...
Recently, the number of children Americans have has dropped. The Gallup Poll organization wanted to know whether this was a change in attitude or possibly a result of the recession, so they asked Americans whether they have children, dont have children but wish to, or dont want children. Out of a random sample of 1200 American adults in 2013, 1140 said that they either have children or want/wish to. (a) Suppose the margin of error in the confidence interval above...
A study was conducted to determine the proportion of people who dream in black and white...
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 299 people over the age of 55, 61dream in black and white, and among 287 people under the age of 25, 10 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts...
A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response...
A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist​ (HONC). Of teenagers who had tried​ tobacco, the mean HONC score was 2.9 ​(s=4.3​) for the 150 females and 2.3 (s=3.6​) for the 181 males. Complete parts a through c below. a. Find the standard error comparing the sample means. Interpret. What does the standard error​ indicate? A.The...
1. A city official claims that the proportion of all commuters who are in favor of...
1. A city official claims that the proportion of all commuters who are in favor of an expanded public transportation system is 50%. A newspaper conducts a survey to determine whether this proportion is different from 50%. Out of 225 randomly chosen commuters, the survey finds that 90 of them reply yes when asked if they support an expanded public transportation system. Test the official’s claim at α = 0.05. 2. A survey of 225 randomly chosen commuters are asked...
In February 2012, the Pepsi Next product was launched into the US market. This case study...
In February 2012, the Pepsi Next product was launched into the US market. This case study provides students with an interesting insight into PepsiCo’s new product process and some of the challenging decisions that they faced along the way. Pepsi Next Case Study Introduction Pepsi Next was launched by PepsiCo into the US market in February 2012, and has since been rolled out to various international markets (for instance, it was launched in Australia in September 2012). The new product...