A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exactly accurate - i.e. known values), are summarized in the table below: Response Year: 2010 Year: 2001 Humans Evolved with God guiding (1) 38% 37% Humans evolved but God had no part in the process (2) 16% 12% God created humans in present form (3) 40% 45% Other / No opinion (4) 6% 6% (B)Calculate the actual number of respondents in 2010 that fall in each response category as well as the expected number, assuming that the population follows the 2001 distribution. Round to the nearest whole number. Response Observed 2010 Expected 2010 Humans Evolved with God guiding (1) Humans evolved but God had no part in the process (2) God created humans in present form (3) Other / No opinion (4) (C)Conduct a chi-square test and state your conclusion. The value of the test statistic is: ____(please round to two decimal places) The degrees of freedom for this test are: ____ The p-value for this test is: _____ (please round to four decimal places) The data provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001 The data to not provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001
A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exactly accurate - i.e. known values), are summarized in the table below:
Response | Year: 2010 | Year: 2001 |
---|---|---|
Humans Evolved with God guiding (1) | 38% | 37% |
Humans evolved but God had no part in the process (2) | 16% | 12% |
God created humans in present form (3) | 40% | 45% |
Other / No opinion (4) | 6% | 6% |
(B)Calculate the actual number of respondents in 2010 that fall in each response category as well as the expected number, assuming that the population follows the 2001 distribution. Round to the nearest whole number.
Response | Observed 2010 | Expected 2010 |
---|---|---|
Humans Evolved with God guiding (1) | ||
Humans evolved but God had no part in the process (2) | ||
God created humans in present form (3) | ||
Other / No opinion (4) |
(C)Conduct a chi-square test and state your conclusion.
The value of the test statistic is: ____(please round to two decimal places)
The degrees of freedom for this test are: ____ The p-value for this test is: _____ (please round to four decimal places)
- The data provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001
- The data to not provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001
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