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. You are interested in constructing a 90% confidence interval for the proportion of all caterpillarsthat eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 livedto 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 betweenandb. If many groups of 427 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.

If there is a single value then we call it to point estimation, but if there is range then we call…

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 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.