A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Billy, and Carl and 1 female named Diane. Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability 0.5 (Type integers or fractions.) b. Find the mean of the sampling distribution. u-O (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b) equal to the population proportion of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion? O A. No. the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is an unbiased estimator. B. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is an unbiased estimator. OC. No. the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. O D. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is a biased estimator.

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A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Billy, and Carl and 1 female
named Diane. Assume that two fruit flies are randomly selected with replacement.
a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the
sampling distribution of the proportion of females.
Proportion of females
Probability
0.5
1
(Type integers or fractions.)
b. Find the mean of the sampling distribution.
H= (Round to two decimal places as needed.)
c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of females? If so, does the
mean of the sampling distribution of proportions always equal the population proportion?
O A. No, the sample mean is equal to the population proportion of females. These values are not always equal, because
proportion is an unbiased estimator.
O B. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because
proportion is an unbiased estimator.
O C. No, the sample mean is equal to the population proportion of females. These values are not always equal, because
proportion is a biased estimator.
O D. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because
proportion is a biased estimator.
Transcribed Image Text:A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Billy, and Carl and 1 female named Diane. Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. H= (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion? O A. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is an unbiased estimator. O B. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is an unbiased estimator. O C. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. O D. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is a biased estimator.
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