Question: Education professionals refer to science, technology, engineering and mathematics as the STEM disciplines. A recent ACT Condition and Career Readiness Report states that 47% of

Education professionals refer to science, technology, engineering and mathematics as the STEM disciplines. A recent ACT Condition and Career Readiness Report states that 47% of high school graduates have expressed interest in a STEM discipline. A random sample of 85 freshmen is selected.

a. Is it appropriate to use the normal approximation to find the probability that less than 45% of the freshmen in the sample have expressed interest in a STEM discipline? If so, find the probability. If not, explain why not.

b. A new sample of 150 freshmen is selected. Find the probability that less than 45% of the freshmen in this sample have expressed interest in a STEM discipline.

c. Find the probability that the proportion of freshmen in the sample of 150 who have expressed interest in a STEM discipline is between 0.40 and 0.45.

d. Find the probability that more than 38% of the freshmen in the sample of 150 have expressed interest in a STEM discipline.

e. Would it be unusual if less than 42% of the freshmen in the sample of 150 have expressed interest in a STEM discipline?

Step by Step Solution

★★★★★

3.40 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Statistics Questions!

The adjusted trial balance for Sharp Construction as of December 31, 2011, follows. J. Sharp invested $50,000 cash in the business during year 2011 (the December 31, 2010, credit balance of the J....

MCMPC is facing a unique situation in a market that has evolved significantly. It is in Orange and Sullivan Counties. It faces a significant challenge. How will it compete effectively in a market...

Have you ever wondered if a college education is financially worthwhile? The U.S. Census Bureau collects data on income and education that throws some light on this question. A recent census...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Education professionals refer to science, technology, engineering and mathematics a STEM disciplines. A recent ACT Condition and Career Readiness Report states that 47% of high school graduates have...

Summerize it in 300 words AN ACADEMIC PROGRAM PROFILE: WAYNE STATE UNIVERSITY Ingrid Guerra-Lopez Tim Spannaus Siba Dallal Introduction by Sung "Pil Kang, PhD, and Yeol Huh, PhD, Column Editors Since...

Now that the dissoi logoi is finished and the subject is chosen, soon the next thing will be to make an overt, explicit claim about that issue to an audience who might be interested in it. The...

Case Summary Read the Discussion Assignment 2-1 on p.34 of the text Technology Adoption by Small Manufacturers. Consider yourself as a health care leader in a small not-for-profit hospital. You have...

To write an effective and concise executive summary, use only the most important details and supporting statistics or information Omit the details of technical content that readers do not need to...

1. Compute the year-to-year percentage change in "diluted-income from continuing operations" for each of the five years. 1a. Do the earnings appear volatile? 2. Compute the ratio of long term debt to...

Hi there! One more question for you. Similar to my last one. I have to have it done by tonight. Let me know if you cannot do it. Here it is: Scenario 3 May I Propose To... You are a partner in a...

The stock of Gao Computing sells for $50, and last year's dividend was $2.10. A flotation cost of 10% would be required to issues new common stock. Gao's preferred stock pays a dividend of $3.30 per...

Ms. Richter wants your opinion of the salaries levels she has set.

Implement a button debouncer FSM in the Verilog file Debounce. \ ( v \ ) to convert a bouncy button input b to a debounced output s . The FSM should change the output to match the input at the first...

What technique is used to organize the VOC?

Complete the hypothesis test in Exercise 9.131a using the following: a. The p-value method and a = 0.01 b. The classical method and a = 0.01

Complete the hypothesis test in Exercise 9.131b using the following: a. The p-value method and a = 0.05 b. The classical method and a = 0.05

In the past the standard deviation of weights of certain 32.0-oz packages filled by a machine was 0.25 oz. A random sample of 20 packages showed a standard deviation of 0.35 oz. Is the apparent...

How declare the @ at sign dollar at C++? For example if the charc enter abc@my.com once the use enter @ then should return different case! But how to declare @ in the C++? case q3: switch(y){ case...

why my tests are all failing ? how to fix? public class GuessMe{ /* Here you will be creating your instance variables. When making instance variables, we think * about what information we need to...

The common stock of a FinTech company is currently selling at $55.75 a share. The company has a net income of $77,575 and there are 18,000 shares of stock outstanding. What is the P/E ratio for the...