Question

(22.52 S-AQ) Publishing scientific papers online is fast, and the papers can be long. Publishing in a paper journal means that the paper will live forever in libraries. The British Medical Journal combines the two: it prints short and readable versions, with longer versions available online. Is this OK with authors? The journal asked a random sample of 107 of its recent authors several questions. One question was "Should the journal continue using this system?" In the sample, 75 said "Yes".

Solving the problem step by step, find the following values (±0.0001).

The sample proportion of authors answering "Yes": pˆp^ = .

The standard error of pˆp^ : .

For a 96% confidence level for the proportion of all authors that would say "Yes" if asked,

the margin of error is , and the confidence interval is ⩽p⩽⩽p⩽.

Answer 1

Given : n=107 , X=75 ,

The critical value is , ; From Z-table

The estimate of the sample proportion is ,

The standard error of is ,

The margin of error is ,

The 96% confidence level for the proportion of all authors that would say "Yes" if asked is ,