1)
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: (please round to four decimal places) State
the conclusion of the test in the context of the problem:
2)A retail sales associate claims that the tax preparation
methods of adults are distributed as follows: 25% go to an
accountant, 20% do their taxes by hand, 40% use a computer
software, 6% get help from a friend and 9% use a tax prep service.
The tax preparation company randomly selects adults and asks them
how they prepare their taxes. Test the associate's claim at 1%
significance
Round to the fourth as needed.
Categories | Observed Frequency |
Expected Frequency |
---|---|---|
Acct | 197 | |
Hand | 158 | |
Comp | 284 | |
Friend | 32 | |
Service | 118 |
Test Statistic:
Degrees of Freedom:
p-val:
Decision Rule: Select an answer Reject the Null Fail to Reject the
Null Accept the Null
Did something significant happen? Select an answer Nothing
Significant Happened Significance Happened
There Select an answer (is/ is not) enough evidence to conclude
Select an answer the distribution of tax prep methods are not as
the associate claims the distribution of tax prep methods are as
the associate claims
Select 0ne a)the distribution of tax prep methode are as the associate claims or are not
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