Question

Find the sample proportions and test statistic for equal proportions.

(a-1)

Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.)

p1
p2
zcalc
p-value
zα/2	+/-

(a-2)	Choose the appropriate hypotheses.

a.	H0:π1 – π2= 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc > 1.96
b.	H0:π1 – π2= 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc > –1.96 or zcalc < 1.96
	a b

(a-3)	Based on the data reject H0.
	False True

(b-1)

Rooms rented at least a week in advance at two hotels: x1 = 30, n1 = 200, x2 = 18, n2 = 50, α = .01, left-tailed test. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign. Use Excel to calculate the p-value.)

p1
p2
zcalc
p-value
zα

(b-2)	Choose the appropriate hypotheses.

a.	H0:π1 – π2 ≥ 0 vs. H0:π1 – π2 < 0. Reject H0 if zcalc > 2.3263
b.	H0:π1 – π2 ≥ 0 vs. H0:π1 – π2 < 0. Reject H0 if zcalc < –2.3263
	a b

(b-2)	Based on the data reject H0.
	True False

(c-1)

Home equity loan default rates in two banks: x1 = 42, n1 = 480, x2 = 32, n2 = 520, α = .05, right-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.)

p1
p2
zcalc
p-value
zα

(c-2)	Choose the appropriate hypotheses.

a.	H0:π1 – π2 ≤ 0 vs. H1:π1 – π2 > 0. Reject H0 if zcalc > 1.645
b.	H1:π1 – π2 ≤ 0 vs. H1:π1 – π2 > 0. Reject H0 if zcalc < 1.645
	b a

(c-3)	Based on the data reject H0.
	False True

Answer 1

a-1)

p1 =0.46

p2= 0.36

zcalc =1.4377

p value =0.1505

zalpha/2 =-/+1.96

a-2_) option a

a-3) false

b-1)

p1 =.15

p2 =0.36

zcalc =-3.3720

p value =0.0004

zalpha =-2.2363

b-2)

option b

b-3)

true

c-1)

p1=.0875

p2= .0615

zcalc= 1.5669

p vlaue =0.0586

zalpha =1.6449

c-2)

option A

c-3)

false