ou are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 352 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 5 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ?and .? b. If many groups of 352 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ? percent will not contain the true population proportion.

ou are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 352 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 5 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ?and .? b. If many groups of 352 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ? percent will not contain the true population proportion.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Related questions

Q: If n = 340 and p^=0.92, find the margin of error at a 90% confidence level E= Give your answer to…

A: Given,n=340p^=0.921-p^=1-0.92=0.08α=1-0.90=0.1α2=0.05Z0.05=1.645

Q: If n=32, ¯xx¯(x-bar)=31, and s=14, construct a confidence interval at a 95% confidence level. Assume…

A: Given: x¯=31n=32s=1495% confidence level

Q: If n=30, ¯xx¯(x-bar)=43, and s=16, construct a confidence interval at a 98% confidence level. Assume…

Q: The figure to the right shows the results of a survey in which 1013 adults from Country A, 1001…

Q: The figure to the right shows the results of a survey in which 1011 adults from Country A, 1003…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: If n=32, ¯xx¯(x-bar)=49, and s=11, construct a confidence interval at a 90% confidence level. Assume…

A: If n=32, x¯(x-bar)=49, and s=11, construct a confidence interval at a 90% confidence level. Assume…

Q: If n=31, ¯xx¯(x-bar)=34, and s=11, construct a confidence interval at a 90% confidence level. Assume…

Q: If n 19, x =40, and s = 20, construct a confidence interval at a 80% confidence level.

Q: A random sample of 12 students showed the following time (in hours) of sleep 4.5 5 5.5 6 6 7 7.5 7.5…

A: Given data 4.5,5,5.5,6,6,7,7.5,7.5,8,9,5,7 n=12

Q: If n=12, =49, and s=8, construct a confidence interval at a 80% confidence level. Assume the data…

Q: If n=32, x(x-bar)=47, and s=18, construct a confidence interval at a 99% confidence level. Assume…

A: Given that Sample size n =32 Sample mean =47 Standard deviation =18

Q: Gallup is a company that carries out daily opinion polls on a variety of topics. In a recent daily…

A: The confidence interval can be found by using the formula p±zp(1-p)n

Q: If n=24, ¯xx¯(x-bar)=49, and s=9, construct a confidence interval at a 80% confidence level. Assume…

Q: If n=240 and ˆpp^ (p-hat) =0.91, find the margin of error at a 90% confidence level Give your…

Q: 4. In theory, in 19 cases out of 20, the overall result of 23% will differ no more than three…

A: Given Data: p=0.23 E=0.03 a) Confidence Interval p±E0.23±0.03(0.20, 0.26) Therefore, answer:…

Q: The figure to the right shows the results of a survey in which 1003 adults from Country A, 1024…

A: Given information For country A p-hat = 0.35 n = 1003

Q: The figure to the right shows the results of a survey in which 1003 adults from Country A, 1024…

A: Given information For country A p-hat = 0.35 n = 1003

Q: If n=590 and p=0.93, construct a 90% confidence interval.

A: Express the expression for the confidence interval. C.I=p±Z*p(1-p)n Here, Z* is the critical value .…

Q: If n=22, ¯xx¯(x-bar)=38, and s=13, construct a confidence interval at a 80% confidence level. Assume…

A: The data provided is- x-bar = sample mean = m = 38 s = standard deviation = 13 n = sample mean = 22…

Q: If n=17, ¯xx¯(x-bar)=41, and s=13, construct a confidence interval at a 99% confidence level. Assume…

A: Sample mean = 41 Sample standard deviation = 13 Sample size = 17 99% confidence level

Q: According to a survey by Runzheimer International Suppose this figure was based on a sample of 27 d…

A: As the population standard deviation is not known, we will use t-distribution. The number of degrees…

Q: If n = 41, ã=30, and s = 6, construct a confidence interval at a 80% confidence level.

A: It is given that Sample size n = 41 Sample mean = 30 Sample SD s = 6 The critical value of t at df =…

Q: From a survey of 350 coworkers you find that 231 would like the company to provide on-site daycare.…

A: Given that, Sample size is n= 350 And we find 231 would like the company to provide on-site…

Q: A survey of 20 people asked, “If you’ve ever been married, how old were you when you were first…

Q: If n=270 and p (p-hat) =0.93, find the margin of error at a 90% confidence level Give your answer to…

Q: Suppose that a safety group surveyed 800 drivers. Among those surveyed, 83% said that careless or…

A: Given Information : Suppose that a safety group surveyed 800 drivers. Among those surveyed, 83%…

Q: If n=26, ¯xx¯(x-bar)=31, and s=17, construct a confidence interval at a 98% confidence level. Assume…

A: From the provided information, Sample size (n) = 26 Sample mean (x̅) = 31 Sample standard deviation…

Q: 4. A researcher asks 600 people if they received a flu vaccine, and 65% said they did. What is the…

Q: Gallup is a company that conducts daily opinion polls on a variety of topics. In a recent daily…

A: Given that, Sample size, n = 1000 38% of the sample said they were committed to their work.

Q: If n=270 and ˆpp^ (p-hat) =0.59, find the margin of error at a 99% confidence level Give your…

A: Given n=270, pcap=0.59, alpha=0.01 Zcritical=2.578 at alpha=0.01 We want to find margin of error

Q: If n=110 and ˆpp^ (p-hat) =0.71, find the margin of error at a 90% confidence level Give your…

A: Sample size n = 110 Sample proportion p^ = 0.71 Confidence level = 90% Formula Used: Margin of error…

Q: If n=41, ¯x=39, and s=16, construct a confidence interval at a 99% confidence level. Assume the data…

A: Given that Sample size (n) = 41 Sample mean (x¯) = 39 Sample standard deviation (s) = 16 Confidence…

Q: If n=190 and ˆpp^ (p-hat) =0.29, find the margin of error at a 90% confidence level Give your…

Q: If n=19, ¯xx¯(x-bar)=42, and s=7, construct a confidence interval at a 95% confidence level. Assume…

A: Sample mean (x̄) = 42 , standard deviation (s) = 7 and sample size (n) = 19 Then, We will find…

Q: The figure to the right shows the results of a survey in which 996 adults from Country A, 1006…

Q: If n=31, ¯xx¯(x-bar)=33, and s=9, construct a confidence interval at a 80% confidence level. Assume…

Q: If n=16, ¯xx¯(x-bar)=45, and s=17, construct a confidence interval at a 99% confidence level. Assume…

Q: m a random sample of 185 children from school G, 108 indicated they wanted to study science in…

A: The formula of the confidence interval for two proportion is: The formula of the standard error is:…

Q: If n=28, ¯xx¯(x-bar)=42, and s=16, construct a confidence interval at a 98% confidence level. Assume…

Q: 12. In a sample of 500 Canadians, 275 say they would rather retire in the US than in Canada.…

A: From the given information, Consider, X be the random variable that denotes the number of people who…

Q: If n=14, ¯xx¯(x-bar)=34, and s=4, construct a confidence interval at a 80% confidence level. Assume…

A: Given , Sample size n = 14 Mean = x bar = 34 Standard deviation s = 4

Q: If n=16, 7(x-bar)=38, and s=12, construct a confidence interval at a 99% confidence level. Assume…

A: Since population standard deviation is unknown, Use t-distribution to find t-critical value. Find…

Q: Suppose you didn’t know whether the coin was fair or not and you wanted to determine a 95%…

A: It is given that sample size (n) is 16,000 and x is 8040.

Q: If n=25, ¤=30, and s=7, construct a confidence interval at a 98% confidence level. Assume the data…

A: It is given that sample mean is 30, sample size is 25 and the sample standard deviation is 7.

Q: If n=16, x¯(x-bar)=48, and s=7, construct a confidence interval at a 98% confidence level. Assume…

Q: The figure to the right shows the results of a survey in which 1003 adults from Country A, 1024…

A: Given information For country A p-hat = 0.35 n = 1003

Q: The figure to the right shows the results of a survey in which 1003 adults from Country A, 1024…

A: Given information For country A p-hat = 0.35 n = 1003

Q: If n=22, 7(x-bar)=34, and s=17, construct a confidence interval at a 99% confidence level. Assume…

A: According to the given information, we have Sample size, n = 22 Sample mean = 34 Sample standard…

Q: In the construction of confidence intervals, if all other quantities are unchanged, a increase in…

A: Given : sample size in increased

Q: The figure to the right shows the results of a survey in which 1013 adults from Country A, 1001…

Question

a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ?and .?

b. If many groups of 352 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ? percent will not contain the true population proportion.

Expert Solution