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Chapter 11: Q 10. (page 718)

What鈥檚 your sign? The University of Chicago鈥檚 General Social Survey (GSS) is the nation鈥檚 most important social science sample survey. For reasons known only to social scientists, the GSS regularly asks a random sample of people their astrological sign. Here are the counts of responses from a recent GSS of 4344 people:

If births are spread uniformly across the year, we expect all 12 signs to be equally likely. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely?

Short Answer

Expert verified

There isn't enough information to back up the assertion that all 12 signals aren't equally likely.

Step by step solution

01

Given information

02

Calculation

The null and alternative hypotheses:

H0:p1=p2=...=p12=112=0.0833Ha:Atleastoneofthepi鈥�sisincorrect.

Using excel:

Chi-square test statistic =19.76

The p-value =0.0487

Decision: Thep-value>0.01fail to reject H0

There isn't enough information to back up the assertion that all 12 signals aren't equally likely.

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