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

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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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?

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

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