Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 26% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 75 freshmen is selected. Round the answer to at least four decimal places. Part: 0 / 6 Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline? It is ≥ and n (1-p): Part: 1 / 6 Part 2 of 6 Part: 2 / 6 Part 3 of 6 Part: 3 / 6 Part 4 of 6 ▼ 10 Find the probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline. The probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline is 0.8810 = appropriate to use the normal curve, since np Part: 4 / 6 55.5 2 A new sample of 120 freshmen is selected. Find the probability that less than 29% of the freshmen in this new sample are planning to major in a STEM discipline. The probability that less than 29% of the freshmen in the sample are planning to major in a STEM discipline is Part 5 of 6 10. 19.5 Find the probability that the proportion of freshmen in the sample of 120 who plan to major in a STEM discipline is between 0.28 and 0.34. The probability that the proportion of individuals in the sample of 120 who plan to major in a STEM discipline is between 0.28 and 0.34 is. X Find the probability that more than 31% of the freshmen in the sample of 120 are planning to major in a STEM discipline. The probability that more than 31% of the freshmen in the sample of 120 are planning to major in a STEM discipline is X

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Part 3-6

Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM
disciplines. A research group reported that 26% of freshmen entering college in a recent year planned to major in a STEM
discipline. A random sample of 75 freshmen is selected. Round the answer to at least four decimal places.
Part: 0 / 6
Part 1 of 6
Is it appropriate to use the normal approximation to find the probability that less than 32% of the freshmen in the
sample are planning to major in a STEM discipline?
appropriate to use the normal curve, since np = 19.5
It is
and n (1 − p) = 55.5 >
Part: 1 / 6
Part 2 of 6
Part: 2 / 6
Part 3 of 6
Find the probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline.
The probability that less than 32% of the freshmen in the sample are planning to major
in a STEM discipline is 0.8810
Part: 3 / 6
10
Part 4 of 6
A new sample of 120 freshmen is selected. Find the probability that less than 29% of the freshmen in this new sample
are planning to major in a STEM discipline.
The probability that less than 29% of the freshmen in the sample are planning to major
in a STEM discipline is
10.
Part: 4 / 6
X
The probability that the proportion of individuals in the sample of 120 who plan to major
in a STEM discipline is between 0.28 and 0.34 is
0.
Part 5 of 6
Find the probability that the proportion of freshmen in the sample of 120 who plan to major in a STEM discipline is
between 0.28 and 0.34.
×
Find the probability that more than 31% of the freshmen in the sample of 120 are planning to major in a STEM
discipline.
The probability that more than 31% of the freshmen in the sample of 120 are planning
to major in a STEM discipline is
Transcribed Image Text:Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 26% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 75 freshmen is selected. Round the answer to at least four decimal places. Part: 0 / 6 Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline? appropriate to use the normal curve, since np = 19.5 It is and n (1 − p) = 55.5 > Part: 1 / 6 Part 2 of 6 Part: 2 / 6 Part 3 of 6 Find the probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline. The probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline is 0.8810 Part: 3 / 6 10 Part 4 of 6 A new sample of 120 freshmen is selected. Find the probability that less than 29% of the freshmen in this new sample are planning to major in a STEM discipline. The probability that less than 29% of the freshmen in the sample are planning to major in a STEM discipline is 10. Part: 4 / 6 X The probability that the proportion of individuals in the sample of 120 who plan to major in a STEM discipline is between 0.28 and 0.34 is 0. Part 5 of 6 Find the probability that the proportion of freshmen in the sample of 120 who plan to major in a STEM discipline is between 0.28 and 0.34. × Find the probability that more than 31% of the freshmen in the sample of 120 are planning to major in a STEM discipline. The probability that more than 31% of the freshmen in the sample of 120 are planning to major in a STEM discipline is
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