How old are college students 2a How old are college students

How old are college students?

2a. 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. Deborah wants to know if the age distribution of NJIT students fits the national distribution or not. He takes a random sample of 210 students of NJIT and finds that 100 are under 26, and 45 are between 26 to 45, and 65 are above 45 years old. What would be the null hypothesis?

A. Age distribution of NJIT students is associated with the national age distribution of college students.

B. Age distribution of NJIT students is different than the national age distribution of college students.

C.  Age distribution of NJIT students is not different than the national age distribution of college students.

D. None of the above

2b. 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. Deborah wants to know if the age distribution of NJIT students fits the national distribution or not. He takes a random sample of 210 students of NJIT and finds that 100 are under 26, and 45 are between 26 to 45, and 65 are above 45 years old. What would be the alternative hypothesis?

A. Age distribution of NJIT students is associated with the national age distribution of college students.

B. Age distribution of NJIT students is not different than the national age distribution of college students.

C. Age distribution of NJIT students is different than the national age distribution of college students.

D. None of the above

2c. 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. Fereydoun wants to know if the age distribution of Rutgers students fits the national distribution or not. He takes a random sample of 210 students of Rutgers University and finds that 100 are under 26, and 45 are between 26 to 45, and 65 are above 45 years old. What would be the computed value of chi-square?

A.3.82

B.4.67

C.12.45

D.3.82

E. None of the above

2d. 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. Deborah wants to know if the age distribution of NJIT students fits the national distribution or not. He takes a random sample of NJIT, conducts a hypothesis test and finds chi-square of 4.61. What would be the P-value of his test?

A. Depends on sample size

B. 10%

C. Between 10% and 90%

D. 1%

E. 2.5%

2e. 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. Deborah wants to know if the age distribution for NJIT students fits the national distribution or not. He takes a random sample of NJIT, conducts a hypothesis test and finds P-value of 0.05. What can he conclude at 2% level of significance?

A. Age distribution of NJIT students is different than the national age distribution of college students.

B. Age distribution of NJIT students is not different than the national age distribution of college students.

C.  Age distribution of NJIT students is associated with the national age distribution of college students.

D. None of the above

Solution

The null hypothesis is:

C.  Age distribution of NJIT students is not different than the national age distribution of college students.The alternative hypothesis is:

C. Age distribution of NJIT students is different than the national age distribution of college students.