6.6 The Probability of a Female Birth In Carcelle-le-Grignon at the end of the eighteenth century, there were 2009 births. There were 983 boys and 1026 girls. You can regard this as a fair random sample (with replacement, though try not to think too hard about what that means) of births. If you map each female birth to 1 and each male birth to 0, the probability of a female birth is the population mean of this random variable. You have a sample of 2009 births. (a) Using the reasoning and data above, construct a 99% confidence interval for the probability of a female birth. (b) Using the reasoning and data above, construct a 99% confidence interval for the probability of a male birth. (c) Do these intervals overlap? what does this suggest?
6.6 The Probability of a Female Birth In Carcelle-le-Grignon at the end of the eighteenth century, there were 2009 births. There were 983 boys and 1026 girls. You can regard this as a fair random sample (with replacement, though try not to think too hard about what that means) of births. If you map each female birth to 1 and each male birth to 0, the probability of a female birth is the population mean of this random variable. You have a sample of 2009 births. (a) Using the reasoning and data above, construct a 99% confidence interval for the probability of a female birth. (b) Using the reasoning and data above, construct a 99% confidence interval for the probability of a male birth. (c) Do these intervals overlap? what does this suggest?
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:**6.6 The Probability of a Female Birth**
In Carcelle-le-Grignon at the end of the eighteenth century, there were 2009 births. There were 983 boys and 1026 girls. You can regard this as a fair random sample (with replacement, though try not to think too hard about what that means) of births. If you map each female birth to 1 and each male birth to 0, the probability of a female birth is the population mean of this random variable. You have a sample of 2009 births.
(a) Using the reasoning and data above, construct a 99% confidence interval for the probability of a female birth.
(b) Using the reasoning and data above, construct a 99% confidence interval for the probability of a male birth.
(c) Do these intervals overlap? What does this suggest?
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