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A survey was conducted of 665 consumer magazines on the practices of their websi

ID: 3206078 • Letter: A

Question

A survey was conducted of 665 consumer magazines on the practices of their websites. Of these, 273 magazines reported that online-only content is copy-edited as rigorously as print content; 379 reported that online-only content is fact-checked as rigorously as print content. (Data extracted from S. Clifford, Columbia Survey Finds a Slack Editing Process of Magazine Web Sites, The New York Times, March 1, 2010, p. B6.) Suppose that a sample of 500 newspapers revealed that 252 reported that online-only content is copy-edited as rigorously as print content and 296 reported that online-only content is fact-checked as rigorously as print content

perform a chi-square test to see if there is evidence of a difference between consumer magazines and newspapers in the proportion of online-only content that is copy-edited as rigorously as print content, at the 0.05 level

1

State the null and alternative hypotheses.

2

How many degrees of freedom are in this test?

3

What is the critical value of chi squared? (please answer with at least 4 significant figures)

4

What is the test chi squared statistic? (please answer with at least 4 significant figures)

5

What is the p-value of this chi-squared test? (please answer to at least 4 decimal places)

6

We reject the null hypothesis.

Select one:

True

False

7

What is the conclusion of the chi square test?

Select one:

a. There is enough evidence of a difference between consumer magazines and newspapers in the proportion of online-only content that is copy-edited as rigorously as print content.

b. There is not enough evidence of a difference between consumer magazines and newspapers in the proportion of online-only content that is copy-edited as rigorously as print content.

8

Why did you come to this conclusion? Be specific about the decision rule you used.

Explanation / Answer

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

The chi-square statistic is 2.048. The p-value is .152409. This result is not significant at p < .05.

b. There is not enough evidence of a difference between consumer magazines and newspapers in the proportion of online-only content that is copy-edited as rigorously as print content.

magazines Newspaper Marginal Row Totals copy-edited 273   (285.25)   [0.53] 252   (239.75)   [0.63] 525 Fast checked 379   (366.75)   [0.41] 296   (308.25)   [0.49] 675 Marginal Column Totals 652 548 1200    (Grand Total)
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