1.Which of the following scenarios would it be appropriate touse a normal approximation for the sampling distribution of thesample proportion?

Select one:

a.) A researcher wishes to find the probability that more than60% of a sample of undergraduate students from UNC will be female.She samples the first 42 students that walk into the gym on Mondaymorning. The population proportion of undergraduate females at UNCis known to be 60.1%.

b.)A researcher wishes to find the probability that less than 5%of a sample of undergraduate students from Appalachian StateUniversity will be between the ages of 25 and 34. He randomlysamples 50 undergraduate students from the student database. Theproportion of undergraduates between the ages of 25 and 34 is5.3%.

c.)A grad student at NC state wants to know how likely it isthat a group of students would be made up of more than 27% graduatestudents. She will randomly select 38 students and ask them if theyare a graduate student or an undergraduate student. The populationproportion of grad students at NC state is 26.6%.

d.)A full-time student at Fayetteville State University wants toknow how likely it is that a group of students would be made up ofless than 70% full-time students. She will ask 30 people that shesees parking in the parking deck if they are full-time orpart-time. The population of full-time students at FayettevilleState is known to be 72%.

2. In the general population in the US, identical twins occur ata rate of 30 per 1,000 live births. A survey records 10,000 birthsduring Jan 2018 to Jan 2019 and found 400 twins in total. Which ofthe following are true?

Select one or more:

The proportion of twin births during Jan 2018 to Jan 2019 is.03.

The proportion of twin births during Jan 2018 to Jan 2019 is.04.

The probability of twin births among the general population is.03.

The probability of twin births among the general population is.04.

Pr(observing a sample proportion of twin births from a randomsample of 10,000 live births <= 0.04) = 0.03.

Pr(observing a sample proportion of twin births from a randomsample of 10,000 live births <= 0.04) = 0.5.

Pr(observing a sample proportion of twin births from a randomsample of 10,000 live births <= 0.03) = 0.04.

Pr(observing a sample proportion of twin births from a randomsample of 10,000 live births <= 0.03) = 0.5.