Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019

Question

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: (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 follows the 2010 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 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) (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 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

Explanation / Answer

(a) right choice is third

H0: population follows 2001 distribution

Ha:population doesnot follow 2001 distribution

(b) here n=1019 , frequency=n*proportion

we use chi-square test and chi-square=sum((O-E)2/E)=19.52 with k-1 =4-1=3 df

chi-squre=19.52

degree of freedom=3

p-value=0.0002 ( using ms-excel command==CHIDIST(19.52,3))

since p-value is less than alpha=0.05 ( generally level of significance alpha=0.05 is taken)

so we say that the (first choice)

The data provide sufficient evidence to ............................

Proportion frequency Observed2010(O) Expected2010(E) Observed2010(O) Expected2010(E) (O-E) (O-E)2/E 0.38 0.37 387 377 10 0.275405 0.1600 0.1200 163 122 41 13.58667 0.4 0.45 408 459 -51 5.661111 0.06 0.06 61 61 0 0 sum= 1 1 1019 1019 5.68E-14 19.52318

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