Answer to Question #173594 in Statistics and Probability for ANJU JAYACHANDRAN

Question

6c) In a television appearance, an MLA from a state asks voters in that state to indicate

whether the MLA should vote against or for a particular piece of legislation. The

MLA office receives 4100 replies. Since voters from western part tends to be

democrats while those from eastern parts tend to e communists, the MLA divides the

replies on the basis of their geographical origin. 68% of the replies from the western

part are against the legislation and 36% of the replies from the eastern part are

against it.

(i) Did the MLA carry out a stratified sampling?

(ii) Did the MLA carry out a stratified random sampling?

(iii) How would you justify the sample design?

(iv) What improvements would you suggest?

Answer 1

Total replies =4100

People against the legislation in western part = 68%

People favours the legislation in western part = 32%

People against the legislation in eastern part = 36%

People favours the legislation in eastern part = 64%

(i) Yes The MLA carried out a stratified sampling as It divided his whole state population into eastern and western part of the country.

(ii) Yes The MLA carry out a stratified random sampling as from the eastern and western part of the

state, he select a person randomly.

(iii) The sample design is good but not statically significant. This design is not helpful to apply for large population size.

(iv) First MLA should consider the fact of simplified version of stratified random sampling and test his model at various level of significance.