That is part a in the picture.This is part b:(b) For which of the two sample sizes, n = 50 or n = 75, do you think the value of p? is more likely to be close to 0.55? What about the given histograms supports your choice?(Answer choices below)a. Samples of size n = 50 would yield a value of p? that is more likely to be close to 0.55 because the histogram for sample size n = 50 seems to have more sample-to-sample variability, is centered at 0.55, and has tall bars close to 0.55.b. Samples of size n = 50 would yield a value of p? that is more likely to be close to 0.55 because the histogram for sample size n = 50 seems to have less sample-to-sample variability, is not centered at 0.55, and does not have tall bars close to 0.55.c. Samples of size n = 75 would yield a value of p? that is more likely to be close to 0.55 because the histogram for sample size n = 75 seems to have more sample-to-sample variability, is centered at 0.55, and has tall bars close to 0.55.d. Samples of size n = 50 would yield a value of p? that is more likely to be close to 0.55 because the histogram for sample size n = 50 seems to have less sample-to-sample variability, is centered at 0.55, and has tall bars close to 0.55.e. Samples of size n = 75 would yield a value of p? that is more likely to be close to 0.55 because the histogram for sample size n = 75 seems to have less sample-to-sample variability, is centered at 0.55, and has tall bars close to 0.55.

tems Consider the two relative frequency histograms. Histogram A Histogram B Relative frequency Relative frequency 0.25 - 0.25 - 0.20 - 0.20 - 0.15 - 0.15 - 0.10 - 0.10 - 0.05 - 0.05- 0.0 0.0- 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.40 0.45 0.50 0.55 0.60 0.65 0.70 Sample proportion for samples of size 50 Sample proportion for samples of size 75 Histogram A was constructed by selecting 100 different random samples of size 50 from a population consisting of 55% females and 45% males. For each sample, the sample proportion of females, p, was calculated. The 100 p values were used to construct the histogram. Histogram B was constructed in a similar way, except that the samples were of size 75 instead of 50. (a) Which of the two histograms shows more sample-to-sample variability? How can you tell? Histogram A shows more sample-to-sample variability than Histogram B because Histogram A has values that tend to deviate more from the center than Histogram B. Histogram A shows the same sample-to-sample variability as Histogram B because Histogram A has values that tend to deviate the same distance from the center as Histogram B. Histogram B shows more sample-to-sample variability than Histogram A because Histogram B has values that tend to deviate more from the center than Histogram A. Histogram B shows more sample-to-sample variability than Histogram A because Histogram B has values that tend to deviate less from the center than Histogram A. Histogram A shows more sample-to-sample variability than Histogram B because Histogram A has values that tend to deviate less from the center than Histogram B