Access over 20 million homework & study documents

Biostatistics Exercises

Content type
User Generated
Subject
Statistics
Type
Other
Rating
Showing Page:
1/8

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/8

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/8

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 8 pages?
Access Now
Unformatted Attachment Preview
1. (50 Points) In a national nutrition study 802 of 2306 sampled adults from Louisiana were obese, whereas 728 of 2358 sampled adults from Texas were obese. a. Perform the Z test to determine if there is a significant difference in the proportion of obese adults in Louisiana and Texas. b. Perform the chi-square test to determine if there is a significant difference in the proportion of obese adults in Louisiana and Texas. c. Demonstrate the equivalence of the tests in a. and b. d. Use a 95 % confidence interval to estimate the difference in the proportion of obese adults in Louisiana and Texas. e. Provide an interpretation of your interval. a. 𝐻0 : π‘πΏπ‘œπ‘’π‘–π‘ π‘–π‘Žπ‘›π‘Ž = 𝑝𝑇𝑒π‘₯π‘Žπ‘  𝐻𝐴 : π‘πΏπ‘œπ‘’π‘–π‘ π‘–π‘Žπ‘›π‘Ž β‰  𝑝𝑇𝑒π‘₯π‘Žπ‘  802 = 0.3478 2306 728 𝑝𝑇𝑒π‘₯π‘Žπ‘  = 𝑝 Μ‚2 = = 0.3087 2358 π‘₯1 + π‘₯2 802 + 728 1530 = 𝑝̂ = = = = 0.328 𝑛1 + 𝑛2 2306 + 2358 4664 π‘πΏπ‘œπ‘’π‘–π‘ π‘–π‘Žπ‘›π‘Ž = 𝑝 Μ‚1 = z= Μ‚2 π‘Μ‚βˆ’ 1 𝑝 1 βˆšπ‘Μ‚(1βˆ’π‘Μ‚)βˆšπ‘› +𝑛 1 2 1 = 0.3478βˆ’0.3087 1 √0.328(1βˆ’0.328)√2306+2358 1 = 0.0391 √0.2204√0.00085774 = 2.84 Since the symbol in 𝐻𝐴 is β€œβ‰ β€, this is a two-tailed test. The critical value = 𝑍𝑐 = ±𝑍0.05/2 = Β±1.96 As Z = 2.84 > 𝑍𝑐 , we reject 𝐻0 . At Ξ± = 0.05, we conclude that there is a significant difference in proportion of obese adults in Louisiana and Texas. b. Let r be obesity vs non ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Really great stuff, couldn't ask for more.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4