A survey of 36 randomly selected students who dropped a course was conducted at

Question

A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (c).

(a) Construct a contingency table for the two variables.

Male           Course       Personal          Working

Female

(b) Test whether gender is independent of drop reason at the

alpha

equals

0.1

level of significance.

What are the hypotheses?

A.Upper H 0: pSubscript Upper C equalspSubscript Upper PequalspSubscript Upper W

Upper H 1:At least one of the proportions is different from the others.

B.Upper H 0: OSubscript Upper CequalsESubscript Upper Cand OSubscript Upper P equalsESubscript Upper Pand OSubscript Upper W equalsESubscript Upper W

Upper H 1: OSubscript Upper C not equalsESubscript Upper Cor OSubscript Upper Pnot equalsESubscript Upper Por OSubscript Upper W not equalsESubscript Upper W

C.Upper H 0: Gender and drop reason are independent.

Upper H 1: Gender and drop reason are dependent.

Calculate the test statistic.

chi squared =

Determine the P-value.

P-value=?

Make the proper conclusion. Choose the correct answer below.

A.Reject Upper H 0. There is sufficient evidence that gender and drop reason are dependent.

B.Fail to reject Upper H 0. There is not sufficient evidence that gender and drop reason are dependent.

C.Fail to reject Upper H 0. There is sufficient evidence that gender and drop reason are dependent.

D.Reject Upper H 0. There is not sufficient evidence that gender and drop reason are dependent.

Construct a conditional distribution of drop reason by gender. Fill in the table below.

Male              Course          Personal             Work

Felame

Gender Reason F Personal M Personal F Work M Personal F Personal M Personal M Course M Course F Personal M Work F Work M Course M Work M Work M Work F Course M Personal F Personal F Work F Personal F Course M Course M Work M Work F Personal M Course M Personal F Course F Personal M Course M Course F Course M Work M Course F Personal M Personal

Explanation / Answer

Sol:

solutionb:

C.Upper H 0: Gender and drop reason are independent.

Upper H 1: Gender and drop reason are dependent

cHIS Q

degrees of freedom=(r-1)(c-1)

=(3-1)(3-1)

=2*2

=4

alpha=0.1

p=0.6554

p>0.05

Fail to reject Null hypothesis

Accept Null hypothesis

Fail to reject Upper H 0. There is not sufficient evidence that gender and drop reason are dependent.

Reason total Gender course personal working Male 8 6 7 21 Female 4 8 3 15 total 12 14 10 36

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.