With a view to manage the availability of classrooms for in-person lectures in the lightof the pandemic situation being unstable, a university with a large enrolment randomlysampled 1375 students. Of these students 751 responded to prefer in-person lectures.In order to infer the fraction of students who prefer in-person lectures (p):(i)dence interval for p.Check all the conditions or assumptions required for constructing a confi-(ii)Compute the standard error of sample proprtion (p).(ii)Obtain a 95% confidence interval for p. What is the margin of error?

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Answered: With a view to manage the availability…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82χ2=7.82 with a corresponding pp-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this pp-value?
I am needing help with how to answer this in R. 1. A [national survey](http://www.pewinternet.org/2012/11/01/how-teens-do-research-in-the-digital-world/) in 2012 showed that 75% of middle and high school teachers believe their students use Wikipedia for typical research statements. Let X equal the number of teachers in a random sample of size n = 40 who believe their students use Wikipedia. i) How is X distributed? ii) Use `plotDist()` to draw the probability distribution of X. iii) Compute the probability that X is equal to 30.
Of the 200 randomly selected local fishers, 28 are solely fishing as income source and 172 have alternative or supplemental livelihood such as getting employed as a construction worker, farmer, carpenter, motorcycle/tricycle driver, selling/vending souvenir and other products, or working in a passenger boat batil or tripolante (i.e., captain or crew). Their estimated monthly income (in PhP) are shown below. Using α = 0.05, is there a significant difference in the monthly income of fishers whose sole livelihood is fishing compared to those with alternative/supplemental income sources? Assume that the fishers income is normally distributed a) Analyze manually b) Analyse using SPSS
The population of adult women in the U.S. have a mean foot length of 9.58 inches and a standard deviation of 0.51 inches, which is normally distributed. Using a TI 84 graphing calculator: Calculate P(1 woman has foot length < 9.6 inches) =Calculate P(Group of 22 women have a mean foot length < 9.5 inches) =Calculate P(Group of 6 women have a mean foot length between 9 and 10 inches) Be sure to show calculator commans used.
(b) Suppose that a doorway being constructed is to be used by a class of people whose heights are normally distributed with mean 70 cms. and standard deviation 3 cms. How long may the doorway be without causing more than 25% of the people to bump their heads? If the height of the doorway is fixed at 76 cms., how many persons out of 5000 are expected to bump their heads? (Given ¤(2) = 0.4762).
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Medical practitioners are increasingly utilising the Zoom platform. Not only for online meetings but also for consultations with patients. The weekly Zoom access time (in hours) at two hospitals: Health Care I Health Care II needs to be investigated. Given: The weekly access time of medical practitioners at both hospitals is normally distributed with a standard deviation of σ=6 hours. a) Consider the weekly access time at Health Care I Given: X= the weekly access time of a medical practitioner. The mean weekly access time is μ=20 hours. Complete the following: (Round your answers to 4 decimal places.) The probability that the weekly access time of a randomly selected medical practitioner is between 13 and 27 hours is: _______ Only 10% of the medical practitioners had a weekly access time of ______ hours or more. Given: X¯= the average weekly access time of a random sample of n=20 medical practitioners. The standard error of X¯ is σX¯=1.3416 Complete the following:…
The average weight loss in following the ketogenic diet after 30 days of strict compliance is 6 kilograms. In order to boost the effect, 16 male adults combined this diet with intermittent fasting 3 days a week. The result shows an average weight loss of 8 kilograms with a standard deviation of 3 kilograms. Is there enough evidence to show that combining ketogenic diet with intermittent fasting is more effective? Which of these choices is the correct set of given? A H=8; x= 6; s= 3; n= 16 B H= 6; X = 8; 0= 3; n= 16 H= 6; x = 8; s= 3; n= 16 H= 8; x = 6; o= 3; n= 16
Given that (7000) fresh graduated IT students in Jordan participated in a Fortinet NSE4 exam in whichthe highest score is 100. Their results were normally distributed with an average of (70) and standarddeviation of (10). If you knew that the passing score to get certified is (85), then:a. Find the number of students who get certified.b. If (792) students were actually certified, what was the minimum score achieved?
The incidence of a certain type of chromosome defect inthe U.S. adult male population is believed to be 1 in 75.A random sample of 800 individuals in U.S. penal institutionsreveals 16 who have such defects. Can it be concludedthat the incidence rate of this defect among prisonersdiffers from the presumed rate for the entire adultmale population?
With a view to manage the availability of classrooms for in-person lectures in the light of the pandemic situation being unstable, a university with a large enrolment randomly sampled 1175 students. Of these students, 751 responded to prefer in-person lectures. In order to infer the fraction (proportion) of students who prefer in-person lectures (p): (i) dence interval for p. Check all the conditions or assumptions required for constructing a confi- (ii) Compute the standard error of sample proprtion (p). (iii) Obtain a 95% confidence interval for p. What is the margin of error? The university management wanted to see 30% smaller margin of error but (iv) with the same confidence as in part (ii), determine the sample size.
The Office of the University Registrar of Seoul University would like to know if the degree programs in College of Science and Math are equally preferred by students.The test claim that the proportions of the students enrolled are equal in each degree program at alpha=0.05 Using the data on the number of currently enrolled students in each gender (M of F) in each of the four degree programs, fill out the table below and find the: a. Chi-square critical Value b. Chi-square test statistic

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