stat question................................

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A genetics experi ment involves a population of fruit flies ocnsisting of 3 males named Carl. Donald, and Ernie and 1 female narned Fran. Assume that two fn.Iit flies are randomly selected with replacement a. After listing the possible samples and nding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability D D as D 1 E {Type integers or fractions.) b. Find the mean of the sampling distribution. p = D [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 sor does the mean of the sampling distribution of proportions always equal the population proportion? D A. Yes. the sample mean is equal to the population proportion of females. These values are always equalr because proportion is an unbiased estimator. D B. No, the sample mean is equal to the population proportion of females. These values are not always equal. because proportion is an unbiased estimator. C} 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. D D. Yes. the sample mean is equal to the population proportion of females. These values are always equalr bra-use proportion is a biased estimator. In a sunrey of 145 senior executives, 53.3% said that the most common job interview mistake is to have little or no knowledge of the company. Use a 0.05 signicance level to test the claim that in the population of all senior executives, WEE say that the most common job interview mistake is to have little or no knowledge of the company. Identify the null hypothesis. altemative hypothesis. test statistic. Pvalue, conclusion about the null hypothesis. and nal conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Identify the null and alternative hypotheses. Choose the correct answer below. Cl A. HD: p=. D B. H\": p=. H1:p#D.E H1:p=~.6 Cl C. HD:p=.4 [El D. HD:p=.4 H1:ph.4 H1:p#.4 O E. HD: p=.4 O F. H\": p=. H1:p-=.4 H1:ps. The test statistic is z = D. (Round to t'wo decimal places as needed} The P-value is D. (Round to four decimal places as needed} Identify the conclusion about the null hypothesis and the nal conclusion that addresses the original claim. |:| H. There El sufcient evidence to warrant rejection of the claim that among senior executivesI JDEE say that the most common job interview mistake is to have little or no knowledge of the company