krishimotam
15.04.2020 •
Mathematics
Gender and Gun Control A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?" Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes". Use this information to find a 99% confidence interval for the difference in the two proportions, , where is the proportion of men who support the proposed law and is the proportion of women who support the proposed law. Round your answers to three decimal places.
Solved
Show answers
More tips
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
Answers on questions: Mathematics
- M Mathematics There are 6 seniors on student council. Two of them will be chosen to go to an all-district meeting. How many ways are there to choose the students who will go to the...
- M Mathematics Can someone please find the volume of this shape? A) 1224 m^3 B) 2160 m^3 C) 6480 m^3 D) 2851 m^3...
- M Mathematics Evaluate the following expression using the given values: (1 point) Find x − 3y if x = 3 and y = −2. −3 9 3 −9...
- M Mathematics What are the factors of x2 – 100? TOPB (X - 50)(X + 50) (x - 10x + 10) (X - 25)(x + 4) (X - 5)(x + 20)...
- M Mathematics A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately how high up the tree does the top of the...
- M Mathematics Use the variables from Part B and the formula nCx= n!/x!(n-x)! to find the binomial coefficient - the number of different ways to roll a 4 exactly 3 times out of 10 rolls...
- M Mathematics Here is a shape ABCD.Calculate the perimeter of the shape.Give your answer correct to 3significant figures.Bwne ino7cmCcmonnoihemonVine7 cm145° 3 cminte ville=26°illicole...
- M Mathematics Solve each system. Show your elimination work. -3y + 10x = -5 3y - 6x=9...
- M Mathematics A board game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. Players roll the die and then...
- M Mathematics On a scale drawing of a fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the drawing? 1 Dit...
Ответ:
And the 99% confidence interval would be given (-0.284;-0.140).
We are confident at 99% that the difference between the two proportions is between
Step-by-step explanation:
Previous conceps
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
represent the real population proportion of men who support the prosed law
represent the estimated proportion of men who support the prosed law
is the sample size required for male
represent the real population proportion of women who support the prosed law
represent the estimated proportion of women who support the prosed law
is the sample size required for female
represent the critical value for the margin of error
The population proportion have the following distribution
The confidence interval for the difference of two proportions would be given by this formula
For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (-0.284;-0.140).
We are confident at 99% that the difference between the two proportions is between
Ответ: