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An economist wants to test if there is any difference in income between Escambia county and Miami-Dade county in Florida. To do this, she collects random samples of residents from both these counties. The information collected from these samples is tabulated below. Assume that both the populations are normally distributed with equal population variances. Escambia County (Population 1) Miami-Dade County (Population 2) n₁ = 11 1₂ = 15 Z₁ = 36,700 $1 = 7800 7₂ = 34,700 82=7375 Set up the null and alternative hypotheses to test the economist's claim. Ho: ₁-₂-0 versus H₂:₁-₂0 ⒸH₂ : ₁ - ₂0 versus H₂ : ₁ - ₂ = 0 ⒸH₂ : ₁ - ₂ <0 versus H₂:₁-₂ 20 ⒸH₂: P-P₂20versus H₂ : ₁ - ₂ <0 ⒸH₂-H₂ ≤0 versus H₂ : ₁ - ₂ > 0 Find the value of the standardized test statistic. 0-2713 02713 0 064 0064 O 067 At 5% significance level, find the rejection region and state your decision Reject Hot-2.064. Decision: Reject Ho Reject Hit-1.711. Decision Reject H₂ Reject H₂ ft < -1.711 ort1.711. Decision: Do not reject H₂. O Reject Hot 2064. Decision: Do not reject Ho O Reject Hot-2.064 ort>2.064. Decision: Do not reject H₂.

An economist wants to test if there is any difference in income between Escambia county and Miami-Dade county in Florida. To do this, she collects random samples of residents from both these counties. The information collected from these samples is tabulated below. Assume that both the populations are normally distributed with equal population variances. Escambia County (Population 1) Miami-Dade County (Population 2) n₁ = 11 1₂ = 15 Z₁ = 36,700 $1 = 7800 7₂ = 34,700 82=7375 Set up the null and alternative hypotheses to test the economist's claim. Ho: ₁-₂-0 versus H₂:₁-₂0 ⒸH₂ : ₁ - ₂0 versus H₂ : ₁ - ₂ = 0 ⒸH₂ : ₁ - ₂ <0 versus H₂:₁-₂ 20 ⒸH₂: P-P₂20versus H₂ : ₁ - ₂ <0 ⒸH₂-H₂ ≤0 versus H₂ : ₁ - ₂ > 0 Find the value of the standardized test statistic. 0-2713 02713 0 064 0064 O 067 At 5% significance level, find the rejection region and state your decision Reject Hot-2.064. Decision: Reject Ho Reject Hit-1.711. Decision Reject H₂ Reject H₂ ft < -1.711 ort1.711. Decision: Do not reject H₂. O Reject Hot 2064. Decision: Do not reject Ho O Reject Hot-2.064 ort>2.064. Decision: Do not reject H₂.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An economist wants to test if there is any difference in income between Escambia county and Miami-Dade county in Florida. To do this, she collects random samples of residents from both these counties. The information collected from these samples is tabulated below. Assume that both the populations are normally distributed with equal population variances. Escambia County (Population 1) Miami-Dade County (Population 2) n₁ = 11 11₂ = 15 7₂ = 34,700 7₁ = 36,700 $1 = 7800 82 = 7375 Set up the null and alternative hypotheses to test the economist's claim. O Ho: ₁-₂-0 versus H₂ - #₂0 ⒸH₂ : ₁ - ₂0 versus H₂ : ₁ - ₂ = 0 ○ H₂H₁-H₂ <0 versus H₂-H₂ 20 O Ho: #₁ - ₂20versus H₂:₁-₂ <0 O Ho: M-4₂ ≤0 versus H₂-H₂>0 Find the value of the standardized test statistic. -2713 0 2713 O 064 0 0.64 0.67 At 5% significance level, find the rejection region and state your decision Reject Hift-2.064. Decision: Reject Ho Reject Hift-1.711. Decision: Reject Ho Reject Hoit-1.711 ort1.711. Decision: Do not reject H₂ O Reject Hoift > 2064. Decision: Do not reject H₂. O Reject Hift <-2064 ort2.064. Decision: Do not reject ₂.
Transcribed Image Text:An economist wants to test if there is any difference in income between Escambia county and Miami-Dade county in Florida. To do this, she collects random samples of residents from both these counties. The information collected from these samples is tabulated below. Assume that both the populations are normally distributed with equal population variances. Escambia County (Population 1) Miami-Dade County (Population 2) n₁ = 11 11₂ = 15 7₂ = 34,700 7₁ = 36,700 $1 = 7800 82 = 7375 Set up the null and alternative hypotheses to test the economist's claim. O Ho: ₁-₂-0 versus H₂ - #₂0 ⒸH₂ : ₁ - ₂0 versus H₂ : ₁ - ₂ = 0 ○ H₂H₁-H₂ <0 versus H₂-H₂ 20 O Ho: #₁ - ₂20versus H₂:₁-₂ <0 O Ho: M-4₂ ≤0 versus H₂-H₂>0 Find the value of the standardized test statistic. -2713 0 2713 O 064 0 0.64 0.67 At 5% significance level, find the rejection region and state your decision Reject Hift-2.064. Decision: Reject Ho Reject Hift-1.711. Decision: Reject Ho Reject Hoit-1.711 ort1.711. Decision: Do not reject H₂ O Reject Hoift > 2064. Decision: Do not reject H₂. O Reject Hift <-2064 ort2.064. Decision: Do not reject ₂.
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