Question

Find the sample proportions and test statistic for equal proportions.

(a-1) Dissatisfied workers in two companies: x₁ = 44, n₁ = 100, x₂ = 34, 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.

1. H₀:π₁ – π₂= 0 vs. H₁:π₁ – π₂ ≠ 0. Reject H₀ if z_calc < –1.96 or z_calc > 1.96
2. H₀:π₁ – π₂= 0 vs. H₁:π₁ – π₂ ≠ 0. Reject H₀ if z_calc > –1.96 or z_calc < 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 = 28, n₁ = 200, x₂ = 16, 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.

1. H₀:π₁ – π₂ ≥ 0 vs. H₀:π₁ – π₂ < 0. Reject H₀ if z_calc > 2.3263
2. H₀:π₁ – π₂ ≥ 0 vs. H₀:π₁ – π₂ < 0. Reject H₀ if z_calc < –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 = 40, n₁ = 480, x₂ = 30, 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.

1. H₀:π₁ – π₂ ≤ 0 vs. H₁:π₁ – π₂ > 0. Reject H₀ if z_calc > 1.645
2. H₁:π₁ – π₂ ≤ 0 vs. H₁:π₁ – π₂ > 0. Reject H₀ if z_calc < 1.645

• b

• a

(c-3) Based on the data reject H₀.

• False

• True

Answer 1