A national survey of 1000 adult citizens of a nation found that 21% dreaded Valentine's Day. The margin of error for the survey was 4.3 percentage points with 90% confidence. Explain what this means. Which statement below is the best explanation? O A. There is 90% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. O B. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.167 and 0.253. O C. There is 85.7% to 94.3% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. D. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.167 and 0.253.

Question

Can you please help me answer and understand this problem?

Thank you!

 

A national survey of 1000 adult citizens of a nation found that 21% dreaded Valentine's Day. The margin of error for the survey was 4.3 percentage points with 90% confidence. Explain what this means.
Which statement below is the best explanation?
O A. There is 90% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day.
O B. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.167 and 0.253.
O C. There is 85.7% to 94.3% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day.
D. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.167 and 0.253.
View transcribed image text
Expand

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Prove that the mean and variance of a uniform distribution are respectively given by E(X) = (a + b)/...

A: Uniform Distribution: Probability density function of uniform distribution is as follows:

Q: We have provided simple data sets for you to practice finding the descriptive measures discussed in ...

A: a) The step-by-step procedure to calculate the quartile using EXCEL is as follows. Enter the data E...

Q: In each of Exercises, we have given the number of successes and the sample size for a simple random ...

A: Click to see the answer

Q: Two antigens, antigen A and antigen B, determine the four major human blood groups: A, B, AB, and O....

A: It is given that: Blood group A B AB O Antigen A B A, B None Distributio...

Q: Suppose that you want to perform a hypothesis test for a population mean. Assume that the population...

A: Click to see the answer

Q: A bus company advertised a mean time of 150 minutes for a trip between two cities. A consumer group ...

A: Solution: Since you have posted a question with multiple sub-parts, we will solve first three sub-pa...

Q: 1. The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standa...

A: Form the given information, Mean =500 Standard deviation = 100

Q: answers to part 6 ( a to c)

A: Click to see the answer

Q: What is the level of significance? State the Null and alternative hypotheses. Will you use a left fi...

A: Level of significance: Level of significance is the probability of rejecting the null hypothesis H0,...

Q: About 35% of Americans will admit that they waste time regularly at work. A poll of 100 Americans is...

A: Given,

Q: Define each of the following terms in the context of experimental design. a. Response variable b. Fa...

A: Click to see the answer

Q: Assume that the population standard deviation is known and decide whether use of the z-interval proc...

A: Click to see the answer

Q: To eliminate the effects of either the row or the column variables in a contingency table, a distrib...

A: To eliminate the effects of the row or the column variables in a contingency table, a Marginal distr...

Q: A simple random sample of 100 observations was taken from a large population. The sample mean and th...

A: Click to see the answer

Q: Applying the Concepts and SkillsIn Exercises, use the technology of your choice toa. conduct a Krusk...

A: Click to see the answer

Q: The data set has 80 observations and has mean 30 and standard deviation 5. Approximately how many ob...

A: Click to see the answer

Q: Explain Regression with Time Fixed Effects?

A: Click to see the answer

Q: What is the name of the distribution on which the Tukey multiple-comparison method is based? What is...

A: Tukey multiple-comparison method: This method is useful for finding the confidence intervals for the...

Q: The least-squares regression model ŷ = -3.4+5.2x and correlation coefficient r = -0.66 were calculat...

A: The given least square regression model is as follows: and the correlation coefficient is –0.66.

Q: A new town was incorporated in 1960. The size of the town's population was recorded every 5 years af...

A: Introduction: Simple linear regression model: A simple linear regression model is given as y^ = b0 ...

Q: Stewed Tomatoes. A company produces cans of stewed tomatoes with an advertised weight of 14 oz. The ...

A: Given that,  The average advertised weight is 14 oz and the standard deviation is 0.4 oz. A quality-...

Q: a Random sample of n1 equals 16 communities in western Kansas gave the following information for peo...

A: It is given that the hay fever rates of 16 communities in western Kansas people under 25 years of ag...

Q: I understand part A and B, but cannot determine C.

A: Click to see the answer

Q: What is the acronym used for simple random sampling without replacement?

A: In this case, we need to find acronym used for simple random sampling without replacement.

Q: Please solve iv,v and vi only thanks

A: Click to see the answer

Q: A school system has assigned several hundred “chronic and severe” underachievers to an alternative e...

A: Given information- Sample size, n = 35 Sample mean, x-bar = 106 Sample standard deviation, s = 2.0 P...

Q: John has integers 1:10. He randomly draws 5 without replacement and reasons that he could estimate t...

A: Introduction: When the man chooses a sample of five numbers between 1 and 10, both inclusive, withou...

Q: Exercises pertain to critical values for a Wilcoxon signed-rank test. Use Table V in Appendix A to d...

A: Click to see the answer

Q: Scientists measured the annual forest loss (in square kilometers) in Indonesia from 2000–2012. They ...

A: (a) The slope is 1,021. This tells that for each year since 2000, forest loss averages about 1,021 k...

Q: In the Ministry of Roads and Highways, contracts for two constructions jobs are randomly assigned to...

A: Note: Hi there! Thank you for posting the question. As your question has more than 1 different quest...

Q: NBA Draft Picks. FromWikipedia’s on-line document “List of First Overall NBA Draft Picks,” we found ...

A: Click to see the answer

Q: Sketch the area under the standard normal curve over the indicated interval and find the specified a...

A: Solution: From the given information, z value is 0.53. The curve is

Q: America’s Melting Pot. The U.S. Census Bureau publishes data on the population of the United States ...

A: a. The bar chart with race and ethnicity in America(represented in millions). Bar chart: A bar chart...

Q: A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos....

A: It is given that a refrigerator contains 6 apples (A), 5 oranges (O), 10 bananas (B), 3 pears (Ps), ...

Q: The researcher wishes to use graphical descriptive methods to present summaries of the data on each ...

A: a) The researcher would have decided 7 as the number of class intervals (K) by using 2k rule. That i...

Q: 3) Below are the ages of ten women who have been recognized for their social work: 43,44,45,48,53,56...

A: g)   The P41 value is 56 and it is calculated below:   From the given information, the ages are 43, ...

Q: According to the central limit theorem, for a relatively large sample size, the variable x is approx...

A: Click to see the answer

Q: Estimating Median Income. Explain why a sample of 30 dentists from Seattle taken to estimate the med...

A: Given that, Estimating Median Income. Explain why a sample of 30 dentists from Seattle taken to esti...

Q: Mendelian Genetics One of Mendel’s famous genetics experiments yielded 580 peas, with 428 of them gr...

A: Click to see the answer

Q: If a Type II error is considered more serious in a certain situation, would you choose a high or low...

A: Every decision-maker can set the significance level (denoted by α)depending on which of type-1 error...

Q: Checking Requirements Common tests such as the SAT, ACT, Law School Admission test (LSAT), and Medic...

A: Click to see the answer

Q: A quantitative data set has size 80. At least how many observations lie within two standard deviatio...

A: Click to see the answer

Q: A random sample of 42 business students required an average of 43.4 minutes to complete a statistics...

A: Click to see the answer

Q: How large a sample should be selected to provide a  95% confidence interval with a margin of error o...

A: It is given that the confidence level is 95% and the margin of error is 1. Assumed population standa...

Q: Regarding a χ2-curve: a. At what point on the horizontal axis does the curve begin?b. Classify its s...

A: Click to see the answer

Q: 1. The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standa...

A: Introduction: Define X as the random variable of interest here, denoting the SAT score of a randomly...

Q: Suppose 2 doctors A and B test all patients coming into a clinic for Syphilis. Let A+ ={doctor A mak...

A: i) The conditional probability that doctor B makes a positive diagnosis given that doctor A makes a ...

Q: 3) Below are the ages of ten women who have been recognized for their social work: 43,44,45,48,53,56...

A: Click to see the answer

Q: Surveys that combine one or more of simple random sampling, systematic random sampling, cluster samp...

A: Click to see the answer

Q: Fill in the blanks. a. In the method for polynomial regression, increasing powers of the predictor v...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Transcribed Image Text

A national survey of 1000 adult citizens of a nation found that 21% dreaded Valentine's Day. The margin of error for the survey was 4.3 percentage points with 90% confidence. Explain what this means. Which statement below is the best explanation? O A. There is 90% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. O B. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.167 and 0.253. O C. There is 85.7% to 94.3% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. D. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.167 and 0.253.