(please show work) Education Rate According to the Department of Education, 32%

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(please show work)

Education Rate According to the Department of Education, 32% of adults over the age of 25 in the United States have earned at least a bachelor's degree. Suppose this is the true proportion of all adults over the age of 25 that have earned at least a bachelor's degree. A random sample of 200 adults over the age of 25 will be selected and their highest degree will be recorded. Let p represent the proportion of adults over the age of 25 in the sample who have earned at least a bachelor's degree Question 1 Subquestions 1.a. Consider all the possible values for the resulting sample proportion p. What is the expected value (or average) of all such values of p? 1 point(s 32 64 0.32 O unknown since we have not yet taken an actual random sample yet 1.b Consider all the possible values for the resulting sample proportion p. What is the standard deviation of all such values of p? 1 point(s) 0.001088 O 0.03298 O 6.596969 O unknown since we have not yet taken an actual random sample yet

Explanation / Answer

1a)

expected value = 0.32*200 = 64

1b)

SD = srqt ( 0.32*(1-0.32) *200 ) = 6.596969

1c)

since np > 5 we can used the normally distributied aproximation

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