2. Mr. Guo receives many spam emails each day. A random sample of12850 emails in his inbox indicates that 13 out of every 25 emails inhis inbox is spam.(a) Find a reasonable point estimate for p.(b) Mr. Guo wishes to find a 97% confidence interval for p. Are allconditions for the Large-Sample Confidence Interval met? If not,explain why.(c) Find the z critical number associated with a 97% confidence in-terval. Hint: We are looking for z such that the central area is97%.(d) Construct a central 97% confidence interval for p.A(e) What is the minimum sample size required to conservatively es- Gtimate p within .005 with 97% confidence?

Given that, No. of emails in his inbox (n) = 12850 Out of 25 emails,13 are spam. Confidence level…

Answered: (a) Find a reasonable point estimate…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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2. Mr. Guo receives many spam emails each day. A random sample of 12850 emails in his inbox indicates that 13 out of every 25 emails in his inbox is spam. (a) Find a reasonable point estimate for p. (b) Mr. Guo wishes to find a 97% confidence interval for p. Are all conditions for the Large-Sample Confidence Interval met? If not, explain why. (c) Find the z critical number associated with a 97% confidence in- terval. Hint: We are looking for z such that the central area is 97%. (d) Construct a central 97% confidence interval for p. (e) What is the minimum sample size required to conservatively es- timate Р within .005 with 97% confidence?
Suppose we wanted to construct a 90% confidence interval for a population mean based uponn = 17 randomly selected observations. Use the table to determine the appropriate value of t* to use in this case. What are the degrees of freedom and the value of t*? degrees of freedom = 16 and t* = 1.337 degrees of freedom = 16 and t* = 1.746 degrees of freedom = 17 and t* = 1.333 degrees of freedom = 17 and t* = 1.740
Suppose that a random sample of 11 adults has a mean score of 79 on a standardized personality test, with a standard deviation of 7 . (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a 90% confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the 90% confidence interval
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A company that records and sells rewritable DVDS wants to compare the reliability of DVD fabricating machines produced by two different manufacturers. They randomly select 500 DVDS produced by each fabricator and find that 484 of the disks produced by the first machine are acceptable and 480 of the disks produced by the second machine are acceptable. We would like to calculate a confidence interval for p1- P2, the true difference in the proportion of acceptable DVDS produced by each machine. Which of the following conditions are met? I. Independent random samples II. 10% condition III. Large Counts O All conditions are met O None of the conditions have been met. O Il only O I only O I and III O II only Activate Wi
Suppose that a random sample of 11 adult US males has a mean height is 69 inches with a standard deviation of 2.9 inches. If we assume that the height of adult males in the US are normally distributed, find a 90% confidence interval for the mean height of all US meals. Give the lower limb and upper limit of the 90% confidence interval. Carrier intermediate computations to at least three decimal places. Andrew answers to one decimal point.
Suppose that in a simple random sample of 30 chicken carcasses from the ACME chicken plant (which has 10,000 chickens), 5 test positive for salmonella and 25 test negative for salmonella. Provide a point estimate and 95% CIs for the prevalence of salmonella among chicken carcasses from the ACME plant, assuming the test is 100% accurate. For the confidence interval, use a two-sided interval and report results from both the “exact method” and the “normal-theory method” (large sample approximation), then comment on whether the normal-theory method is reasonable based on comparison with results from the exact method.
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Suppose that the average time spent per day with digital media several years ago was 3 hours and 27 minutes. For last year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the t-interval procedure can reasonably be applied. Find and interpret a 95% confidence interval for last year's mean time spent per day with digital media by adults of the region. (Note: x=5.45 hr and s=2.20 hr.) Click here to view the digital media times. LOADING... Click here to view page 1 of the t-table. LOADING... Click here to view page 2 of the t-table. LOADING... Question content area bottom Part 1 The 95% confidence interval is from enter your response here hour(s) to enter your response here hour(s). (Round to two decimal places as needed.) Part 2 Interpret the 95% confidence interval. Select all that apply. A. With 95% confidence, the mean…
Suppose that the average time spent per day with digital media several years ago was 3 hours and 44 minutes. For last year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the t-interval procedure can reasonably be applied. Find and interpret a 90% confidence interval for last year's mean time spent per day with digital media by adults of the region. (Note: x=5.12 hr and s=2.24 hr.)

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