Part 3 of 6 A new sample of 140 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

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**Probability in STEM Education**

**Part 3 of 6**

A new sample of 140 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 [   ].

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**Interactive Component:**
There is a text box provided for entering the probability value. Two icons accompany this box: an "X" for clearing the entry and a circular arrow for resetting the input.
Transcribed Image Text:**Probability in STEM Education** **Part 3 of 6** A new sample of 140 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 [ ]. --- **Interactive Component:** There is a text box provided for entering the probability value. Two icons accompany this box: an "X" for clearing the entry and a circular arrow for resetting the input.
**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 **0.6628**.
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 **0.6628**.
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