Question

In a recent report of post-graduation plans of American college seniors, 45% of students were going to work in a field related to their majors; 20% were going to get further education and 35% were uncertain about their plans. Out of a recent random sample of 200 CSUF seniors, 100 were going to work in a field related to their majors; 20 were going on to get more education and 80 were uncertain about their futures. Use this information to answer the following questions.

1. If you want to know if the plans of CSUF seniors differ from the plans of college students nationwide, what would your null hypothesis say? (be specific about the numbers)

2. What would your three expected frequencies be? Type them in below in order and separated by commas.

3.   What if you had calculated a chi square= 17.44 for df=6. What is the relative p value for your chi square? p< ???   (write the appropriate value of alpha below).

Answer 1

## Question ) In a recent report of post-graduation plans of American college seniors, 45% of students were going to work in a field related to their majors; 20% were going to get further education and 35% were uncertain about their plans. Out of a recent random sample of 200 CSUF seniors, 100 were going to work in a field related to their majors; 20 were going on to get more education and 80 were uncertain about their futures. Use this information to answer the following questions.

Answer : here N = total observation = 200

observed frequencies : 100 = were going to work in a field related to their majors

20 = were  going on to get more education

80 = were uncertain about their futures

## 1. If you want to know if the plans of CSUF seniors differ from the plans of college students nationwide, what would your null hypothesis say? (be specific about the numbers)

Answer : Ho :  the plans of CSUF seniors equal  from the plans of college students nationwide.

( ie p1 = p2 = p3 )

## 2. What would your three expected frequencies be? Type them in below in order and separated by commas.

Answer : Expected frequency = N * probability

Three expected frequency :

1 ) for were going to work in a field related to their majors : p = 45 % = ie 0.45

E1 = 200 * 0.45 = 90

2) for were  going on to get more education = p = 20 %

E2 = 200 * 0.20 = 40

3) for were uncertain about their futures = p = 35 % = 0.35

E3 = 200 * 0.35 = 70

( ie E1 = 90 , E2 = 40 , E3 = 70)

## 3.   What if you had calculated a chi square= 17.44 for df=6. What is the relative p value for your chi square? p< ???   (write the appropriate value of alpha below).

Answer : use chi square table and solve : = 0.0077

here p value is less than alpha value ( for 1 % , 5 % and 10 % also )

ie result is significant for given alpha value .