Another random sample of 200 students is taken at Flatrock High School. Assume the the population proportion of students who would support the proposal at this school is 0.63. d.) Describe the sampling distribution of the difference in sample proportions (Rockypoint - Flatrock) SHAPE: ?               CENTER:  ?                   VARIABILITY: ? e.) What is the probability that the two sample proportions will differ by more than 0.12? Write the probability statement and show your work!

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a.), b.) & c.) were answered previously with the 3 answer limit per request. I only need d.) & e.) solved. I went ahead and provided the full question. 

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The student government is trying to gauge student support of a recent proposal to extend lunch period to 50 minutes. A random sample of 150 students from Rockypoint High School is selected. Assume that the population proportion of students who would support the proposal at the school is 0.72.

a.) Is the sampling distribution approximately Normal? Explain how you know.

b.) Explain why you can use the formula for the standard deviation of in this setting even though we are sampling without replacement.

c.) What is the probability that the proportion of students at school who support the proposal is at least 0.78? Write the probability statement and show your work!

Another random sample of 200 students is taken at Flatrock High School. Assume the the population proportion of students who would support the proposal at this school is 0.63.

d.) Describe the sampling distribution of the difference in sample proportions (Rockypoint - Flatrock)

SHAPE: ?               CENTER:  ?                   VARIABILITY: ?

e.) What is the probability that the two sample proportions will differ by more than 0.12? Write the probability statement and show your work!

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