Chisquare distribution is almost normal A True B False How o

Chi-square distribution is almost normal.

A. True B. False

How old are college students? The National Age Distribution for College Students shows that 55% of college students are under 26 years old, 25% are between 26 to 45 years old, and the rest are above 45 years old. John wants to know if the age distribution for students fits the national distribution or not. He takes a random sample of the University, conducts a hypothesis test and finds P-value of 0.05. What can he conclude at 2% level of significance?

A. Age distribution of students is different than the national age distribution of college students.
B. Age distribution of students is not different than the national age distribution of college students.
C. Age distribution of students is associated with the national age distribution of college students.
D. None of the above

A teacher thinks that final grades in the planning department are distributed as: A, 25%; B, 25%; C, 40%; D, 5%; and F, 5%. At the end of a randomly selected semester, he records the grade of students, conducts a Goodness-of-Fit test, and finds P-value of 0%. Is grade distribution for the department different than his expectation?
A. Yes
B. No
C. Depends on the sample size
D. can be yes or no based on the value of level of significance.
E. None of the above

In a certain town, there are about 200,000 eligible voters. A simple random sample of 3000 eligible voters was chosen to study the relationship between sex and participation in the last election. Which method do we use if we want to check whether being a man or a woman makes a difference for having voted in the last election?
A. We conduct chi-square test of independence.
B. We use correlation analysis.
C. Both A and B can be used.
D. Test of goodness-of-fit for gender
E. None of the above.

A medical researcher is interested in determining possibility of relationship between walking habit of adults over 50 and their blood pressure. He collects data from a random sample of 236 adults over 50, and asks them if they are “Walkers” or “Non-walkers”, and measures their blood pressure and classifies it as “Low”, “Moderate”, and “High” blood pressure. What can he conclude if he conducts a test, and finds Chi-square of 11.3? Use 0.01 level of significance.
A. Walking habit makes a difference for blood pressure level of adults over 50.
B. Walking habit makes no difference for blood pressure level of adults over 50.
C. There is a positive strong correlation coefficient between the blood pressure of adults over 50 and their walking habit.
D. None of the above

Solution

1. A

2. A

3. A

4. C

5. A