Question

In: Statistics and Probability

In a sample of 400 Americans over age 21, 75% said that they drank alcoholic beverages....

In a sample of 400 Americans over age 21, 75% said that they drank alcoholic beverages. What is 98% confidence interval of the true proportion of all Americans who drink alcoholic beverages?

Expert Solution

Solution: Here, the given information is

n=400, p=75% = 0.75

98% confidence interval

First find

= 1- = 1-0.02/2

=1-0.01

=0.99 ( see this value in z table)

=2.33

Margin of error

E= *

=2.33*

=2.33*0.02165

=0.05044

*

( 0.75-0.05044 , 0.75+0.05044)

(0.699, 0.800)

0.699 to 0.800 is the 98% confidence interval of the true proportion of all Americans who drink alcoholic beverages.

orchestra answered 2 years ago

at a party there are 25 students over age 21 and 15 students under age 21...

at a party there are 25 students over age 21 and 15 students under age 21 you choose a random five over those 21 and separately choose a random three of those under 21 to interview about attitudes towards alcohol. You've given every student at the party the same chance to be interviewed what is that chance. why is your sample not an SRS?

Up to 20% of Americans contract influenza each year. A sample of 400 randomly selected Americans...

Up to 20% of Americans contract influenza each year. A sample of 400 randomly selected Americans is chosen and the number with influenza is recorded. Let X represent the number with influenza in the sample. What is the probability that, at most, 25% of the sample is observed to have influenza? How can I do this the easiest way on Ti-84? Can I use a button like Stats or Distr to make life easy?

The city of Irvine reported that approximately 75% of residents are over the age of 60....

The city of Irvine reported that approximately 75% of residents are over the age of 60. Let X be the number of Irvine residents over the age of 60. From a random sample of 500 Irvine residents, 350 were over the age of 60. What is the sampling distribution of the sample proportion for the sample size of 500? Using the distribution of X from above, what is the probability that at most 350 of the 500 Irvine residents selected...

2. Americans over the age of 65 are covered by Medicare. For them, the medical market...

2. Americans over the age of 65 are covered by Medicare. For them, the medical market is a third-payer market. What is a third-party payer market? How does total quantity of medical services provided in a third-payer market, such as Medicare, compare to a market in which the purchaser of medical services pays the full cost? How does price of medical services provided in a third-part payer market, such as Medicare, compare to the price in a market in which...

In a random sample of 100 adult Americans who did not attend college, 37 said they...

In a random sample of 100 adult Americans who did not attend college, 37 said they believe in extraterrestrials. In a random sample of 100 adult Americans who did attend college, 47 said they believe in extraterrestrials. At the 1% level of significance, does this indicate that the proportion of people who did not attend college and believe in extraterrestrials is less than the proportion of people who did attend college and believe in extraterrestrials? State the null and alternate...

A Pew Poll conducted in 2017 surveyed a random sample of 200 adult Americans and 75...

A Pew Poll conducted in 2017 surveyed a random sample of 200 adult Americans and 75 of them said that they had seen a ghost. Find a 99% confidence interval for the percentage of all Americans who believe they have seen a ghost. Interpret your interval. Round to three decimal places.

In a sample of 75 children, the mean age at which they first began to combine...

In a sample of 75 children, the mean age at which they first began to combine words was 16.27 months, with a standard deviation of 9.65 months. Part 1 of 2 Construct a 99.8% interval for the mean age at which they first begin to combine words. Round the answers to two decimal places.

QUESTION 11 In any given year, one in three Americans over the age of 65 will...

QUESTION 11 In any given year, one in three Americans over the age of 65 will experience a fall. If you have three living grandparents over the age of 65, and assuming that the probability of a fall for each grandparent is independent: What is the probability that none of the three grandparents will experience a fall? Provide your answer as a decimal between 0 and 1. 4 points QUESTION 12 What is the probability that one or more grandparents will...

21. If a 2.50 mol sample of water is heated from -50 °C to 75 °C...

21. If a 2.50 mol sample of water is heated from -50 °C to 75 °C at a constant pressure of 1 atm, what is the change in enthalpy?

Language Survey About 42.3% of Californians and 19.6% of all Americans over age five speak a...

Language Survey About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%. sample means 38 22/38 speak another language H0: ___________ Ha: ___________ In words, define the random variable. __________ = _______________ The distribution to use...