art 2 of 6 ind the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline. he probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is 0.9099

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**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 85 freshmen is selected. Round the answer to at least four decimal places.

**Part 1 of 6**

Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline?

It is ✅ appropriate to use the normal curve, since \( np = 22.1 \geq 10 \)

and \( n(1-p) = 62.9 \geq 10 \).
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 85 freshmen is selected. Round the answer to at least four decimal places. **Part 1 of 6** Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline? It is ✅ appropriate to use the normal curve, since \( np = 22.1 \geq 10 \) and \( n(1-p) = 62.9 \geq 10 \).
**Part 2 of 6**

Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline.

The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is \(0.9099\).

No graphs or diagrams are present in the image.
Transcribed Image Text:**Part 2 of 6** Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline. The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is \(0.9099\). No graphs or diagrams are present in the image.
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