The following table shows 1000 Engineer school applicants classified according to scoresmade on a college entrance examination and the quality of the high school from whichthey graduated, as rated by a group of educators:Quality of High SchoolsSuperiorScoresAverageLow300100High260340A 95% confidence interval for the population proportion of applicants that a low score onthe examination and graduated from an average high school is:(0.081 , 0.118)None of these(0.271,0.328)O (0.310, 0.369)

Given that sample size n = 1000 Number of applicants that a low score on the examination and…

Answered: A 95% confidence interval for the…

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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Confidence Intervals for p1-p2 A study is conducted to determine whether there is a significant difference in union membership based on sex of the person. In a random sample of 4000 male factory-employees, 588 said they are union members. A random sample of 2000 female factory-employees found 180 who were union members. a.) Set up a 99% confidence interval for the difference in the true proportion of male and female factory employees who are union members. b.) Regardless of what your actual interval above may be, suppose the endpoints of the 99% interval are (.045, .085). Based on these values, would conclude, at a=0.01, that there is a difference in the proportion of male and female union factory employees or that there is no difference in the proportion of male and female union factory employees? Justify your answer.
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From a lake, an unknown proportion of fish have been tagged. You collect a sample of 100 fish taken from a lake, 57 fish in your sample are tagged. Based on this, construct a 90% confidence interval for the percentage of tagged fish in the lake.
In a survey of 1036 adults, a poll asked, "Are you worried or not worried about having enough money for retirement?" Of the 1036 surveyed, 649 stated that they were worried about having enough money for retirement. Construct a 99% confidence interval for the proportion of adults who are worried about having enough money for retirement A 99% confidence interval for the proportion of adults who are worried about having enough money for retirement is ( D. (Use ascending order. Round to four decimal places as needed.)
A survey asked, "How many tattoos do you currently have on your body?" Of the 1227 males surveyed, 181 responded that they had at least one tattoo. Of the 1003 females surveyed, 137 responded that they had at least one tattoo. Construct a 95 % confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 95 % confidence interval for p 1 minus p 2 . The lower bound is . The upper bound is .
What is the lower endpoint of a 95% confidence interval for the percent of students who like online classes if for a sample of 134 students 92 students liked online classes? C e M AD ►
A sample of freshman takes a reading comprehension test and their scores are summarized below. Sample scores: 16, 8, 8, 6, 9, 11, 13, 9, 10 a. if the mean for the general population on this test is m=12, can you conclude that this sample is significantly different from the population. Test with a=.05 b. Calculate a 90% confidence interval around your mean.
A survey asked, "How many tattoos do you currently have on your body?" Of the 1241 males surveyed, 182 responded that they had at least one tattoo. Of the 1047 females surveyed, 139 responded that they had at least one tattoo. Construct a 99% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. P1 Let p, represent the proportion of males with tattoos and p, represent the proportion of females with tattoos. Find the 99% confidence interval for p, - p2. The lower bound is The upper bound is (Round to three decimal places as needed.)
National statistics show that 23% of men (sample 1) smoke and 18.5% of women (sample 2) do. A random sample of 149 men indicated that 64 were smokers , and of 119 women surveyed , 41 indicated that they smoked. Construct a 95% confidence interval for the true difference in proportions of male and female smokers. Select one: O a. -0.032
An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. We are interested in determining if the accident proportions differ between the two age groups. The results are shown below. a =0.05 Under age of 18 Over age of 18 n₂ =500 n₁ = 480 Number of accidents = 160 Number of accidents = 140 The test statistic is A 90% confidence interval for the proportion between two age groups is approximately Given a 5% level of significance, what decision should be reached about the null hypothesis
A simple random sample of 1000 people age 18 or over is taken in a large town. It turns out that 189 people in the sample are newspaper readers. Calculate a 95%-confidence interval for the percentage of people (age 18 and over) in that town who read newspapers.
A 90% confidence interval for the difference between the proportion of college students who use flash cards for studying and high school students who use flash cards for studying is (0.13, 0.23). Then the Error is +5%. True False

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A 95% confidence interval for the population proportion of applicants that a low score on the examination and graduated from an average high school is: