Show that in Example 4.4.7, page 153, the difference between the two candidates is statistically significant even at a confidence level of 99.7%. Now to the numbers! Let's begin with Candidate A. We have the followingnumbers: sample size n =1350, favorable voters k648. Therefore p6480.48 or 48%, and o 21350 x 0.48 х (1 — 0.48) ~ 18.3565, so the135018.3565standard error is st.err. -a 0.0136 or 1.36%.1350CHAPTER 4. STATISTICS153This tells us that the percentage of support for Candidate A the day ofthe poll was between 48 – 2 × 1.36 and 48+2×1.36, that is between 45.28%and 50.72%.Similarly, for Candidate B we have n =1350, favorable voters k702.702Therefore p =— 0.52 or 52%, and o ~ y/1350 x 0.52 х (1 — 0.52) ~135018.356518.3565, so the standard error is st.err. 22 0.0136 or 1.36%.1350This tells us that the percentage of support for Candidate B the day ofthe poll was between 52 – 2 × 1.36 and 52+ 2×1.36, that is between 49.28%and 54.72%.When we plot these two intervals one on top the other we clearly see thatthey overlap.AE*******I45.284850.72ВE******:******I49.285254.72OverlapE********I49.2850.72Figure 4.18: Overlapping Confidence Intervals for Two CandidatesThat means that with a 95% confidence level, we cannot say that onecandidate beats the other. We call this situation a statistical tie, or we say

Name: Show that in Example 4.4.7, page 153, the difference between the two c
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Show that in Example 4.4.7, page 153, the difference between the two candidates is statistically significant even at a confidence level of 99.7%. Now to the numbers! Let's begin with Candidate A. We have the followingnumbers: sample size n =1350, fav

The 68-95-99,7 rule says that for a 99.7 confidence interval there is a 3standard error difference…

Answered: Show that in Example 4.4.7, page 153,…

Math

Statistics

Show that in Example 4.4.7, page 153, the difference between the two candidates is statistically significant even at a confidence level of 99.7%.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Similar questions

For the following exercises, assume two die are rolled. 47. Construct a table showing the sample space.
A travel agency wants to promote pleasure trips into space and wants to know which of the two commercial companies should they promote Virgin Galactic or Blue Origin? The one preferred by the customers will be the one they decide to promote. For this reason they take a random sample of 16 potential travelers, and they ask if they would prefer Virgin Galactic or Blue Origin. Let X be the number of travelers who preferred Virgin Galactic and let p=X/16 denote the corresponding proportion. Suppose that we want to show that Virgin Galactic is preferred to Blue Origin. Please formulate the null and alternative hypotheses and calculate the rejection region. Use α=0.05 Suppose that 11 out of 16 prefer Virgin Galactic and that α = 0.05, is this enough evidence to show that Virgin Galactic is preferred to Blue Origin? Perform the test and give your conclusion. Which company should they promote?
A sample of n = 100 scores is selected from a population with u = 50 and o = 5. If the sample mean is M = 49, what is the z-score for this sample mean?
Q15) A cookie jar containts 15 chocolate chip and 5 oatmeal cookies. If 3 cookies are randomly selected, what is the probablity at least one is an oatmeal cookie? (Find TWO METHODS to calculate this problem, and show the work)
A random sample of n = 25 individuals is selected from a population with u = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 22.2 with SS = 384. PLEASE SHOW HOW YOU GOT YOUR Answer. a. How much difference is there between the mean for the original population? (Note; In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = .05.
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.5% or more are defective, they call repair technicians for service.The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following.
A sample, with M=42 and n=64, is selected from a population with a μ=48 and σ=16. Would this sample be considered extreme and unrepresentative for this population?
On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked whichcandidate he or she plans to vote for. Of the people in the sample, 55 percent say they will vote for candidateTaylor. A margin of error of 3 percentage points is calculated. Which of the following statements is appropriate?(A)The proportion of all likely voters who plan to vote for candidate Taylor must be the same as the proportionof voters in the sample who plan to vote for candidate Taylor (55 percent), because the data were collectedfrom a random sample.(B) The sample proportion minus the margin of error is greater than 0.50, which provides evidence that morethan half of all likely voters plan to vote for candidate Taylor.(C)It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote forcandidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likelyvoters in a large city.(D) It is…
A random sample of n = 25 individuals is selected from a population with a mean of = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 22.2 with SS=384. a) How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) b.) If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. ? (Note: In a hypothesis test, this value is the denominator of the tstatistic.) c) Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = 0.05 .
*HAS TO SHOW THE FOUR STEPS OF THE HYPOTHESIS* A random sample of n = 25 individuals is selected from a population with μ = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M =22.2 with SS = 384. a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α= .05.
A random sample of n = 25 individuals is selected from a population with μ = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 22.2 with SS = 384. a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.
A random sample of n= 4 individuals is selected from a population with μ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.