A hypotheses test of P-P2 Was performed at significant level a=0.05. The test resulted in rejecting thenull hypotheses. Which of the following confidence interval will gives the same result?OA None of these.O B. a 95% interval (0.43, 0.80]OCa 99% interval (-0.2, 0.58]O D.a 95% interval (-0.2, 0.58]O Ea 99% interval (0.43, 0. 80]

Given : Null hypothesis : P1-P2 = 0 Level of significance = 0.05

Answered: A hypotheses test of P-P2 was performed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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"Trydint" bubble-gum company claims that 4 out of 10 people prefer their gum to "Eklypse". Test their claim at the 95 confidence level. The null and alternative hypothesis in symbols would be: Ο Η : μ 2 0.4 Hy:μ 0.4 H₁:p 0.4 Ο Ho: μ 0.4 The null hypothesis in words would be: O The average of people that prefer Trydint gum is 0.4. The proportion of people in a sample that prefers Trydint gum is 0.4. O The proportion of all people that prefer Trydint gum is less than 0.4. O The proportion of all people that prefer Trydint gum is 0.4 O The proportion of all people that prefer Trydint gum is greater than 0.4. O The average of people that prefer Trydint gum is not 0.4. O The proportion of people in a sample that prefer Trydint gum is not 0.4 Based on a sample of 100 people, 19 said they prefer "Trydint" gum to "Eklypse". The point estimate (statistic) is: (to 3 decimals) Percentage Confidence z*-Value 80 1.28 90 1.645 95 1.96 98 2.33 99 2.58 p. (1-p) The Standard Error can be found using…
A student was asked to find a 99% confidence interval for the proportion of students who take notes using data from a random sample of size n = 84. Which of the following is a correct interpretation of the interval 0.1 < p < 0.22? Check all that are correct. With 99% confidence, in a proportion of their classes a randomly selected student takes notes in is between 0.1 and 0.22. There is a 99% chance that the proportion of notetakers in a sample of 84 students will be between 0.1 and 0.22. There is a 99% chance that the proportion of the population is between 0.1 and 0.22. The proprtion of all students who take notes is between 0.1 and 0.22, 99% of the time. With 99% confidence, the proportion of all students who take notes is between 0.1 and 0.22.
A student was asked to find a 98% confidence interval for the population proportion of students who take notes using data from a random sample of size n = 81. Which of the following is a correct interpretation of the interval 0.1 < p < 0.23? Check all that are correct. The proprtion of all students who take notes is between 0.1 and 0.23, 98% of the time. With 98% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.1 and 0.23. There is a 98% chance that the proportion of the population is between 0.1 and 0.23. With 98% confidence, the proportion of all students who take notes is between 0.1 and 0.23. There is a 98% chance that the proportion of notetakers in a sample of 81 students will be between 0.1 and 0.23.
Two samples were drawn, each from a normally distributed population, with the following results X1 = 45 s1 = 8 nį = 12 X2 = 52 s2 = 5 n2 = 18 Estimate the difference between the population means, using the 95% confidence level.
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A student was asked to find a 95% confidence interval for the population proportion of students who take notes using data from a random sample of size n = 81. Which of the following is a correct interpretation of the interval 0.12 < p < 0.22? Check all that are correct. __ There is a 95% chance that the proportion of notetakers in a sample of 81 students will be between 0.12 and 0.22. ___ With 95% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.12 and 0.22. ____ There is a 95% chance that the proportion of the population is between 0.12 and 0.22. ____ With 95% confidence, the proportion of all students who take notes is between 0.12 and 0.22. _____ The proprtion of all students who take notes is between 0.12 and 0.22, 95% of the time.
At sig level of 0.05, the upper limit for a confidence interval is lower than the true unknown mean of a population when the sample mean is -__and the probability of this is O Lower than µ+2*SE, 0.975 Between p-2×SE and p+2*SE, 0.95 O Lower than µ-2*SE, 0.025 O Lower than µ-2*SE, 0.05 O Lower than µ+2*SE, 0.95
A student was asked to find a 95% confidence interval for the population proportion of students who take notes using data from a random sample of size n = 78. Which of the following is a correct interpretation of the interval 0.11 < p < 0.3? Check all that are correct. The proprtion of all students who take notes is between 0.11 and 0.3, 95% of the time. With 95% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.11 and 0.3. There is a 95% chance that the proportion of notetakers in a sample of 78 students will be between 0.11 and 0.3. There is a 95% chance that the proportion of the population is between 0.11 and 0.3. With 95% confidence, the proportion of all students who take notes is between 0.11 and 0.3.
A student was asked to find a 95% confidence interval for widget width using data from a random sample of size n = 23. Which of the following is a correct interpretation of the interval 12.3 < μ < 25? Check all that are correct. There is a 95% chance that the mean of a sample of 23 widgets will be between 12.3 and 25. There is a 95% chance that the mean of the population is between 12.3 and 25. The mean width of all widgets is between 12.3 and 25, 95% of the time. We know this is true because the mean of our sample is between 12.3 and 25. With 95% confidence, the mean width of a randomly selected widget will be between 12.3 and 25. With 95% confidence, the mean width of all widgets is between 12.3 and 25.
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. Let u denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (7.8, 9.4). (a) Consider the following statement: There is a 95% chance that is between 7.8 and 9.4. Is this statement correct? Why or why not? (b) Consider the following statement: We can be highly confident that 95% of all bottles of this type of cough syrup have an alcohol content that is between 7.8 and 9.4. Is this statement correct? Why or why not? (c) Consider the following statement: If the procedure of selecting a sample of size 50 and then computing the corresponding 95% interval is repeated 100 times, approximately 95 of the resulting intervals will include u. Is this statement correct? Why or why not?
A small shop is trying to compare the proportion of consumers who prefer buying a pre-made bread and those who prefer fresh bread. They randomly sample daily consumers and asked for their opinion. The shop is then decided to construct a 90% confidence interval for the difference of population proportion and found it equal to (-0.53 , 0.30). ii. using the interval, what is the decision for testing Hop1- P2=0 against H 1:P1- P270 at 10% significant levels OReject the null hypothesis OFail to reject the null hypothesis Ocannot be determine

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