The gender pay gap reveals how much women are paid compared to men. The uncontrolled (or unadjusted) gender pay gap is calculated by taking the ratio median earnings of all women to all men, regardless of industry, skill level, education or any other type of diverse demographic that can affect an individual's income. The controlled pay gap is hypothetical, and shares what women could earn compared to men when all compensable factors are accounted for such as job title, education, experience, industry, job level, and hours worked. The table below shows the difference between the current "uncontrolled" average gender pay gap against a "controlled" average gender pay gap. These comparisons are against the average $1.00 earned by white men. Uncontrolled Pay Gap Controlled Pay Gap Asian women Native Hawaiian and other Pacific Islander women American Indian and Alaska Native women White women Hispanic and Latine women Black and African American women $0.97 $0.75 $0.70 $0.82 $0.77 $0.78 $1.02 $1 $0.98 $1 $0.98 $0.98 a. Conduct a hypothesis test at the 1% significance level to test the claim that the average difference in the pay gap decreases when controlled.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The gender pay gap reveals how much women are paid compared to men. The
uncontrolled (or unadjusted) gender pay gap is calculated by taking the ratio of median
earnings of all women to all men, regardless of industry, skill level, education or any
other type of diverse demographic that can affect an individual's income. The controlled
pay gap is hypothetical, and shares what women could earn compared to men when all
compensable factors are accounted for such as job title, education, experience,
industry, job level, and hours worked.
The table below shows the difference between the current "uncontrolled" average
gender pay gap against a "controlled" average gender pay gap. These comparisons are
against the average $1.00 earned by white men.4
Uncontrolled Pay Gap Controlled Pay Gap
Asian women
Native Hawaiian and other Pacific
Islander women
American Indian and Alaska Native
women
White women
Hispanic and Latine women
Black and African American
women
$0.97
$0.75
$0.70
$0.82
$0.77
$0.78
$1.02
$1
$0.98
$1
$0.98
$0.98
a. Conduct a hypothesis test at the 1% significance level to test the claim that the
average difference in the pay gap decreases when controlled.
Transcribed Image Text:The gender pay gap reveals how much women are paid compared to men. The uncontrolled (or unadjusted) gender pay gap is calculated by taking the ratio of median earnings of all women to all men, regardless of industry, skill level, education or any other type of diverse demographic that can affect an individual's income. The controlled pay gap is hypothetical, and shares what women could earn compared to men when all compensable factors are accounted for such as job title, education, experience, industry, job level, and hours worked. The table below shows the difference between the current "uncontrolled" average gender pay gap against a "controlled" average gender pay gap. These comparisons are against the average $1.00 earned by white men.4 Uncontrolled Pay Gap Controlled Pay Gap Asian women Native Hawaiian and other Pacific Islander women American Indian and Alaska Native women White women Hispanic and Latine women Black and African American women $0.97 $0.75 $0.70 $0.82 $0.77 $0.78 $1.02 $1 $0.98 $1 $0.98 $0.98 a. Conduct a hypothesis test at the 1% significance level to test the claim that the average difference in the pay gap decreases when controlled.
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