6.42 Evolution versus Creationism: 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), 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%
(a) State hypotheses for the following research question: have beliefs on the origin of human life changed since 2001?
(b/c) 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. (please 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)
(d) 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:
State the conclusion of the test in the context of the problem: