The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions and receives responses from 62 undergraduates (stored in the Survey data set).
Answers
Answer:
Step-by-step explanation:
2.1Problem. For this data, construct the following contingency tables (Keep Gender as row variable)
2.1Problem 2.1.1 Gender and Major
Solution:
Below is the output from Python
Major Accounting CIS Economics/Finance International Business \
Gender
Female 3 3 7 4
Male 4 1 4 2
Major Management Other Retailing/Marketing Undecided
Gender
Female 4 3 9 0
Male 6 4 5 3
2.1Problem 2.1.2 Gender and Grad Intention
Solution:
Below is the output from Python
Grad Intention No Undecided Yes
Gender
Female 9 13 11
Male 3 9 17
2.1Problem 2.1.3 Gender and Employment
Solution:
Employment Full-Time Part-Time Unemployed
Gender
Female 3 24 6
Male 7 19 3
2.1Problem 2.1.4 Gender and Computer
Solution:
Below is the output from Python
Computer Desktop Laptop Tablet
Gender
Female 2 29 2
Male 3 26 0
2.2Problem. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question:
2.2Problem 2.2.1 What is the probability that a randomly selected CMSU student will be male?
Solution:
For this we need to find out total male students out of whole student from the given data. After calculation we got the result that probability of 46.77% student will be male in CMSU if randomly selected
2.2Problem 2.2.2 What is the probability that a randomly selected CMSU student will be female?
Solution:
For this we need to find out total female students out of whole student from the given data. After calculation we got the result that probability of 53.23% student will be female in CMSU if randomly selected
2.3 Problem. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question:
2.3 Problem 2.3.1 Find the conditional probability of different majors among the male students in CMSU.
Solution:
Using contingency tables of Gender and Majors we got the total numbers of males and number of males opting for different majors
Below is the output from Python –
Probability of Males opting for Accounting. is 13.79%
Probability of Males opting for CIS. is 3.45%
Probability of Males opting for Economics/Finance. is 13.79%
Probability of Males opting for InternationalBusiness. is 6.90%
Probability of Males opting for Management. is 20.69%
Probability of Males opting for Other. is 13.79%
Probability of Males opting for Retailing/Marketing. is 17.24%
Probability of Males opting for Undecided. is 10.34%
And from this output we can easily say that most of the males students prefer Management as Majors and CIS is the least preferred one
2.3 Problem 2.3.2 Find the conditional probability of different majors among the female students in CMSU.
Solution:
Using contingency tables of Gender and Majors we got the total numbers of females and number of females opting for different majors
Below is the output from Python –
Probability of Females opting for Accounting. is 9.09%
Probability of Females opting for CIS. is 9.09%
Probability of Females opting for Economics/Finance. is 21.21%
Probability of Females opting for InternationalBusiness. is 12.12%
Probability of Females opting for Management. is 12.12%
Probability of Females opting for Other. is 9.09%
Probability of Females opting for Retailing/Marketing. is 27.27%
Probability of Females opting for Undecided. is 0.00%
And from this output we can easily say that most of the females students prefer Retailing/Marketing as Majors.
Answer:
It's important to keep in mind that the results of this analysis would only be representative of the CMSU population if the sample of 62 students was truly representative of the entire population.
Step-by-step explanation:
From the above question,
They have given :
Based on the description given, you would need to construct contingency tables to show the relationship between gender and different variables such as major, grad intention, employment, and computer ownership. Then, using this data, you would calculate the probabilities of various events such as the probability of a student being male or female, the conditional probability of different majors given the student's gender, and the probability of a student being a male and intending to graduate or a female without a laptop.
Based on the 2x2 contingency table of gender and intent to graduate, you would need to determine if there is a relationship between the two variables and if they are independent events. To do this, you would need to perform a statistical test such as a chi-square test of independence.
It's important to keep in mind that the results of this analysis would only be representative of the CMSU population if the sample of 62 students was truly representative of the entire population.
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FULL QUESTION :
The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions and receives responses from 62 undergraduates (stored in the Survey data set). 2.1. For this data, construct the following contingency tables (Keep Gender as row variable) 2.1.1. Gender and Major 2.1.2. Gender and Grad Intention 2.1.3. Gender and Employment 2.1.4. Gender and Computer 2.2. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question: 2.2.1. What is the probability that a randomly selected CMSU student will be male? 2.2.2. What is the probability that a randomly selected CMSU student will be female? 2.3. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question: 2.3.1. Find the conditional probability of different majors among the male students in CMSU. 2.3.2 Find the conditional probability of different majors among the female students of CMSU. 2.4. Assume that the sample is a representative of the population of CMSU. Based on the data, answer the following question: 2.4.1. Find the probability That a randomly chosen student is a male and intends to graduate. 2.4.2 Find the probability that a randomly selected student is a female and does NOT have a laptop. 2.5. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question: 2.5.1. Find the probability that a randomly chosen student is a male or has full-time employment? 2.5.2. Find the conditional probability that given a female student is randomly chosen, she is majoring in international business or management. 2.6. Construct a contingency table of Gender and Intent to Graduate at 2 levels (Yes/No). The Undecided students are not considered now and the table is a 2x2 table. Do you think the graduate intention and being female are independent events? 2.7. Note that