**Future scientists:** Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 27% 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: 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 ___ appropriate to use the normal curve, since $ np = $ ___ $ \geq $ 10 and $ n(1-p) = $ ___ $ \geq $ 10.---**Part: 1 / 6****Part 2 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 ___ .---**Part 3 of 6****A new sample of 130 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 ___ .---### Explanation and Diagrams OverviewThis image outlines a statistical exercise involving probabilities and normal approximation for proportions in a sample related to freshmen majoring in STEM disciplines. The exercise is divided into parts, each with different requirements, including determining normal curve applicability and calculating probabilities.There are interactive elements in the image such as buttons for input and selection that would be used to fill in the missing information or compute values as part of the exercise. **Part 4 of 6**Find the probability that the proportion of freshmen in the sample of 130 who plan to major in a STEM discipline is between 0.29 and 0.34.The probability that the proportion of individuals in the sample of 130 who plan to major in a STEM discipline is between 0.29 and 0.34 is [text box].**Part 5 of 6**Find the probability that more than 32% of the freshmen in the sample of 130 are planning to major in a STEM discipline.The probability that more than 32% of the freshmen in the sample of 130 are planning to major in a STEM discipline is [text box].**Progress Indicator**Displayed as a progress bar labeled "Part: 5 / 6."**Part 6 of 6**Would it be unusual if less than 24% of the freshmen in the sample of 130 were planning to major in a STEM discipline?It [dropdown menu labeled "Choose one"] be unusual if less than 24% of the freshmen in the sample of 130 were planning to major in a STEM discipline, since the probability is [text box].

Let p be the proportion of freshmen planning to major in STEM discipline. Given that p = 27% = 0.27 Note : According to our guidelines we are solving only first three sub parts of a question and the rest parts may be reposted.

Answered: Is it appropriate to use the normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question is attached. (Thank you for helping )
Use the Chi-Square test to determine if your third-generation population data fits the expected population. Show all calculations and state the P-value you obtain (use p and q numbers from generation 0 and 3 in the calculation). Generation 0 number for p = .5 and Q = .5 Generation 3 number for P= .6 and Q = .4

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