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The University of Chicago's General Social Survey (GSS) is the nation's 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: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn Aquarius 354 376 Leo 383 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562> 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487> 0.01, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we reject the null hypothesis in favor of the alternate. We conclude that that all 12 signs are not equally likely. Because the P-value of 0.0487> 0.01, we cannot reject the null hypothesis. We conclude that all 12 signs are equally likely. Because the P-value of 0.0717 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely.

The University of Chicago's General Social Survey (GSS) is the nation's 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: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn Aquarius 354 376 Leo 383 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562> 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487> 0.01, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we reject the null hypothesis in favor of the alternate. We conclude that that all 12 signs are not equally likely. Because the P-value of 0.0487> 0.01, we cannot reject the null hypothesis. We conclude that all 12 signs are equally likely. Because the P-value of 0.0717 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The University of Chicago's General Social Survey (GSS) is the nation's 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: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn 354 Leo 383 Aquarius 376 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we reject the null hypothesis in favor of the alternate. We conclude that that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We conclude that all 12 signs are equally likely. Because the P-value of 0.0717 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely.
Transcribed Image Text:The University of Chicago's General Social Survey (GSS) is the nation's 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: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn 354 Leo 383 Aquarius 376 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we reject the null hypothesis in favor of the alternate. We conclude that that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We conclude that all 12 signs are equally likely. Because the P-value of 0.0717 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely.
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