Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. find the expected count and the contribution to th

Find the expected count and the contribution to the chi-square statistic for the (Group 1, Yes)...

Free

60.1K

Verified Solution

Question

Statistics

Find the expected count and the contribution to the chi-squarestatistic for the (Group 1, Yes) cell in the two-way table below.Yes No Group 1 711 263 Group 2 1159 313 Round your answer for theexcepted count to one decimal place, and your answer for thecontribution to the chi-square statistic to three decimal places.Expected count= contribution to the chi-square statistic=

Answer & Explanation Solved by verified expert
3.8 Ratings (372 Votes)

given data table is

group 1 group 2
yes 711 263
no 1159 313

calculating row and column total or sum

group 1 group 2 TOTAL
yes 711 263 974
no 1159 313 1472
TOTAL 1870 576 2446

For expected count, take sum of each row and column

then multiply the row and column total for individual value and divide by the grand total, we get

Table for expected count group 1 group 2
yes (1870*974)/2446 = 744.636 (576*974)/2446 = 229.364
no (1870*1472)/2446 = 1125.364 (576*1472)/2446 = 346.636

Contribution to chi square is calculated (observed - expected)^2/(expected)

Observed Expected Contribution
711 744.636 (711-744.636)^2/744.636 = 1.519
263 229.364 (263-229.364)^2/229.364 = 4.933
1159 1125.364 (1159-1125.364)^2/1125.364 = 1.005
313 346.636 (313-346.636)^2/346.636 = 3.264

Chi square = 1.519 + 4.933 + 1.005 + 3.264

= 10.721
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

Ronald Roth started his new job as controller with Aerosystems today. Carole, the employee benefits clerk,...

Finance
1.2K views

Yield to maturity and yield to call Kaufman Enterprises has bonds outstanding with a $1,000 face value...

Physics
1.2K views

1 A block of mass 25 kg is lying on an inclined plane of angle...

Geometry
1.2K views

3 An isosceles triangle ABC has legs of length 24 and a vertex angle that...

Calculus
1.2K views

Find the intervals on which the graph of f is concave upward the intervals on...

Algebra
1.2K views

8 I want to know if more sophomores or juniors get higher grades on this...

Algebra
1.2K views

Find the product and write the result in standard form i 8 3i 8 3i...

Accounting
1.2K views

Which of the following causes the incurrence of variable costs? a. Budget b. Activity Base...

Accounting
1.2K views

1. An entity reported the following shareholders' equity at the beginning of the current year:...

Accounting
1.2K views

1) Buckey co assigns overhead based on mach hours. The machine Department logs 2390 mach...

Accounting
1.2K views

On January 1, 2021, the Coldstone Corporation adopted the dollar-value LIFO retail inventory method. Beginning...

Accounting
1.2K views

Neptune Company produces toys and other items for use in beach and resort areas. A...