An article in the New England Journal of Medicine, discussed...

An article in the New England Journal of Medicine, discussed a study on smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans and 7,650 whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 whites. Complete the table. African American, Native Hawaiian, Latino, Japanese Americans, White, Smoking Level Per Day $1-10$ $11-20$ $21-20$ $31+$ TOTALS

An article in the New England Journal of Medicine, discussed a study on smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans and 7,650 whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 whites.

Complete the table. African American, Native Hawaiian, Latino, Japanese Americans, White,
Smoking Level
Per Day
$1-10$
$11-20$
$21-20$
$31+$
TOTALS

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Contingency Tables

A contingency table is a type of table in a matrix format that displays the frequency distribution of variables. It organizes data into rows and columns to show the relationship between two or more categorical variables, and is commonly used in statistics for identifying patterns and testing hypotheses.

Marginal Totals

Marginal totals are the sums of the rows or columns in a contingency table, and they represent the overall frequency of each category. They are important for summarizing the data and for further statistical analysis that involves calculating proportions, percentages, or other summary statistics.

Data Summation and Aggregation

Data summation and aggregation involve adding individual data points to calculate totals for both rows and columns. This process is essential in filling out a contingency table completely by ensuring that all subgroup counts contribute to overall totals.

Categorical Data Analysis

Categorical data analysis involves techniques used to analyze data that are divided into distinct groups or categories. It includes the use of contingency tables, chi-square tests, and other statistical methods that help in understanding relationships and distributions within categorical data.

Transcript

00:02 Here, the self -reported ethnicity and smoking levels per day are given.

00:09 We have to complete the table using the given information.

00:14 It is given that of the people smoking at most 10 cigarettes per day, there were 9 ,086 african -americans.

00:25 So, in the row of 1 to 10 and under the column african -american, we will enter the value.

00:34 Value 9886, 9 ,086.

00:41 Further it is given, there were 2 ,745 native hawaiians.

00:48 So under the column of native hawaiians, we will enter the value 2745.

00:57 There were 12 ,831 latinos, 8378, japanese americans.

01:12 And lastly, it is given that there were 7 ,650 whites.

01:21 Now, further it is given of the people smoking 11 to 20 cigarettes.

01:27 So we will enter all the values in the row of 11 to 20.

01:32 There were 6 ,514 african americans.

01:39 So we will enter 6 .514 under african americans.

01:45 3 ,062 native hawaiians.

01:54 4 ,932 latinos, 10 ,680 japanese americans.

02:10 And lastly, there were 9 ,077 whites.

02:18 Now, further it is given of the people smoking 21 to 30 cigarettes per day, there were 1 ,671 african americans, 1419 native hawaiians, 1419, 1406, latinos, 4715 japanese americans and 6062 whites.

02:54 And further it is given of the people smoking at least 31 cigarettes per day...

Please give Ace some feedback