You are interested in constructing a 99% confidence interval for the proportion of all caterpillarsthat eventually become butterflies. Of the 394 randomly selected caterpillars observed, 48 livedto become butterflies. Round answers to 4 decimal places where possible.a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly isbetweenandb. If many groups of 394 randomly selected caterpillars were observed, then a differentconfidence interval would be produced from each group. Aboutpercent of theseconfidence intervals will contain the true population proportion of caterpillars that becomebutterflies and aboutpercent will not contain the true population proportion.Hint: HintsVideo [-]Submit Question

Given information Total caterpillars (n) = 394 Number of butterflies(x) = 48 Sample proportion

Answered: You are interested in constructing a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 378 randomly selected caterpillars observed, 45 lived to become butterflies. Round answers to 4 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 378 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.
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You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a. Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 427 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.
51. You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 393 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 4 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 393 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.
You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 390 randomly selected caterpillars observed, 60 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 390 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.
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 424 randomly selected caterpillars observed, 50 lived to become butterflies. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 424 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.
Answer Part B
You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 431 randomly selected caterpillars observed, 50 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between___ and___ . b. If many groups of 431 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.
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You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 418 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 418 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.

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