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.(e) What is the minimum sample size required to conservatively es-timate Р within .005 with 97% confidence?

It is specified that for 12850 sampled emails (i.e., the sample size, n=12850), the no. of emails…

Answered: Mr. Guo receives many spam emails each…

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. A (e) What is the minimum sample size required to conservatively es- G timate p within .005 with 97% confidence?
Suppose we take a SRS of high school seniors and get a 95% confidence interval that 250 to 278 seniors plan to attend prom. What is the point estimator and margin of error?
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
Suppose we are testing brake light reaction times for a new brake light design. The current design (we will call it the old design) is known to have an average reaction time of 0.8 seconds. A random sample of 50 drivers are tested on the new design, and the 50 drivers have an average reaction time of 0.76 seconds, with a 95% confidence interval of (0.66, 0.86) seconds. Write a few sentences to explain how we should interpret this data. Explain what the null hypothesis is here, whether we rejected the null, or failed to reject, and also what the implications are.
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
A scientist claims that 65% of U.S. adults believe humans contribute to an increase in global temperature. A 95% confidence interval for the proportion of U.S. adults who say that the activities of humans are contributing to an increase in global temperatures is found to be (0.626, 0.674). Does this confidence interval support the scientist's claim? Since 0.65 falls in the confidence interval, the scientist’s claim is incorrect. Since 0.65 does not fall in the confidence interval, the scientist’s claim is incorrect. Since 0.65 does not fall in the confidence interval, the scientist’s claim is correct. Since 0.65 falls in the confidence interval, the scientist’s claim is correct.
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.
A scientist wondered if there was a difference in the average daily intake of dairy products between men and women. He took a sample of n1 = 50 adult men and n2 = 50 adult women and recorded their daily intakes of dairy products in grams per day. A summary of the sample results of it is presented in the table. He constructs a 95% confidence interval for the difference in the average daily intakes of dairy products for men and women. Can it be concluded that there is a difference in the average daily intakes for men and women?
Suppose that the average time spent per day with digital media several years ago was 3 hours and 16 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=5.16 hr and s=2.20 hr.) The 90% confidence interval is from enter your response () hour(s) to () hour(s).
What is the critical value for z if you want a 95% confidence interval ( 17 degrees of freedom )?
You've collected a sample of 14 concrete blocks and weighed them. You want to produce a 99% confidence interval for the variance of the weight of the blocks. Provide the two values of x² that you would use in the calculation of this interval. Р

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