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A national non-profit organization is trying to recruit women to serve in local and state governments. Based on available data, 31% of seats in all state legislative bodies are currently filled by women. After a recent election in a state that this organization heavily advertised, they find that a random sample has 41% of state legislative seats that were won by women. (a) A statistician runs a simulation of an election, with the assumption that 31% of the seats will be won by women. She repeats this simulation 100 times. The results of the simulation are shown below. Based on the simulation and the sample proportion found above, what conclusion should the non-profit make about the percentage of legislative seats that were won by women. (b) Based on your conclusion in part (a), what error, Type I or Type II, might have been made. Give a consequence of making this error in the context of this question. State the appropriate hypotheses used.

A national non-profit organization is trying to recruit women to serve in local and state governments. Based on available data, 31% of seats in all state legislative bodies are currently filled by women. After a recent election in a state that this organization heavily advertised, they find that a random sample has 41% of state legislative seats that were won by women. (a) A statistician runs a simulation of an election, with the assumption that 31% of the seats will be won by women. She repeats this simulation 100 times. The results of the simulation are shown below. Based on the simulation and the sample proportion found above, what conclusion should the non-profit make about the percentage of legislative seats that were won by women. (b) Based on your conclusion in part (a), what error, Type I or Type II, might have been made. Give a consequence of making this error in the context of this question. State the appropriate hypotheses used.

MATLAB: An Introduction with Applications
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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A national non-profit organization is trying to recruit women to serve in local and state governments. Based on available data,
31% of seats in all state legislative bodies are currently filled by women. After a recent election in a state that this organization
heavily advertised, they find that a random sample has 41% of state legislative seats that were won by women.
(a) A statistician runs a simulation of an election, with the assumption that 31% of the seats will be won by women. She repeats
this simulation 100 times. The results of the simulation are shown below. Based on the simulation and the sample proportion
found above, what conclusion should the non-profit make about the percentage of legislative seats that were won by women.

(b) Based on your conclusion in part (a), what error, Type I or Type II, might have been made. Give a consequence of making
this error in the context of this question. State the appropriate hypotheses used.

A national non-profit organization is trying to recruit women to serve in local and state governments. Based on available data, 31% of seats in all state legislative bodies are currently filled by women. After a recent election in a state that this organization heavily advertised, they find that a random sample has 41% of state legislative seats that were won by women. (a) A statistician runs a simulation of an election, with the assumption that 31% of the seats will be won by women. She repeats this simulation 100 times. The results of the simulation are shown below. Based on the simulation and the sample proportion found above, what conclusion should the non-profit make about the percentage of legislative seats that were won by women. 2021222324252627282930313233343536373839404142 Sample Percent of Seats Won by Women (b) Based on your conclusion in part (a), what error, Type I or Type II, might have been made. Give a consequence of making this error in the context of this question. State the appropriate hypotheses used. 00000 0000000 00000 0000000 0000 Frequency
Transcribed Image Text:A national non-profit organization is trying to recruit women to serve in local and state governments. Based on available data, 31% of seats in all state legislative bodies are currently filled by women. After a recent election in a state that this organization heavily advertised, they find that a random sample has 41% of state legislative seats that were won by women. (a) A statistician runs a simulation of an election, with the assumption that 31% of the seats will be won by women. She repeats this simulation 100 times. The results of the simulation are shown below. Based on the simulation and the sample proportion found above, what conclusion should the non-profit make about the percentage of legislative seats that were won by women. 2021222324252627282930313233343536373839404142 Sample Percent of Seats Won by Women (b) Based on your conclusion in part (a), what error, Type I or Type II, might have been made. Give a consequence of making this error in the context of this question. State the appropriate hypotheses used. 00000 0000000 00000 0000000 0000 Frequency
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