When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? does the result suggest that a sample proportion is an unbiased estimator of a population proportion? for the entire population, assume the probability of having a boy is , the probability of having a girl is , and this is not affected by how many boys or girls have previously been born.

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11-07-2022
Mathematics

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When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? does the result suggest that a sample proportion is an unbiased estimator of a population proportion? for the entire population, assume the probability of having a boy is , the probability of having a girl is , and this is not affected by how many boys or girls have previously been born.

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-07-15T22:38:55+02:00

The probability illustrates that the mean of the sample proportions equal the proportion of girls in two births.

How to calculate the probability?

The table that describes the sampling distribution of the sample proportion of girls from two births will be:

Girls Probability

0. 0.25

0.5. 0.5

1. 0.25

The mean of the sample proportions equal the proportion of girls in two births. This is illustrated as 1/2.

Also, the result suggest that the sample proportion is an unbiased estimator big the population proportion because rye sample proportion and population proportion are not the same.

Learn more about probability on:

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