Question

1) 6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living...

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?

  • Ho: the population follows the 2001 distribution
    Ha: the population doesn't follow the 2001 distribution
  • the population follows the 2010 distribution
    Ha: the population doesn't follow the 2010 distribution
  • Ho: the population follows the 2001 distribution
    Ha: the population follows the 2010 distribution

(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:

  • The data to not provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001
  • The data provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001

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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