Question

A master chocolatier claims that there is a difference in the proportions of milk and dark chocolate lovers who like their new recipe. They select a random sample of 160 milk chocolate lovers and 200 dark chocolate lovers and find that 35% of milk chocolate lovers and 25% of dark chocolate lovers like their new recipe. Test their claim at a 5% significance level.

a) Define Population 1 and Population 2.

Select one:

a. Population 1 = 5% milk chocolate lovers
Population 2 = 5% dark chocolate lovers

b. Population 1 = milk chocolate lovers
Population 2 = dark chocolate lovers

c.
Population 1 = 160 milk chocolate lovers
Population 2 = 180 dark chocolate lovers

d. Population 1 = 35% milk chocolate lovers
Population 2 = 25% dark chocolate lovers

b) Define the parameter of interest.

Select one:

a.
₁ - ₂ = difference in sample proportions of 160 milk chocolate lovers and 180 dark chocolate lovers who like their new recipe.

b. p₂ = population proportion of dark chocolate lovers who like their new recipe

c. p₁ = population proportion of milk chocolate lovers who like their new recipe

d. p₁ - p₂ = difference in population proportions of milk and dark chocolate lovers who like their new recipe

c) State the null and alternative hypotheses, and identify the claim.

Select one:

a. H₀: p₁  p₂, H_A: p₁  p₂ (Claim)

b. H₀: p₁  p₂ (Claim), H_A: p₁  p₂

c. H₀: p₁  p₂ (Claim), H_A: p₁  p₂

d. H₀: p₁  p₂, H_A: p₁  p₂ (Claim)

d) Determine the distribution of the test statistic.

Select one:

a. Uniform Distribution

b. Z-distribution

c. Binomial Distribution

d. t-distribution

e) Calculate the test statistic.

f) Assume the test statistic is -1.88. Find the p-value.

g) Assume the p-value is 0.0598. State your decision.

Select one:

a. Fail to reject H₀

b. Reject H₀

c. Fail to reject HA

d. Reject HA

Answer 1

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answered by: anonymous