Question

When two births are randomly selected, the sample space for genders is bb, bg. gb, and 99. 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 bom. My Determine the probabilities of each sample proportion Sample proportion of girls Probability Court Note Prese (Type integers or simplified fractions.) Homi Discu Your Study Enter your answer in the edit fields and then click Check Answer Check Answer Stare Clear All Stat parts 2 remaining Javascript:doExercise 40); numrtion and

Answer 1

Sample Proportion	Probability
0	1/4
0.5	1/2
1	1/4

Mean of sample proportion and population propotion is 1/2

Yes, sample proportion is unbiased estimator.

Please revert back in case of any doubt.

Please upvote. Thanks in advance.