(3 points) A Gallup poll asked the same question it has asked every year for man

Question

(3 points) A Gallup poll asked the same question it has asked every year for many years: "What do you think is the most important problem facing this country today?" The table below shows the percentage responses for three major concerns in 2003 and 2009. About 1000 people were surveyed each year in what you may consider is a random sample of U.S. adults. You will test whether there was a statistically significant change in the distribution of results from 2003 to 2009 2003 2009 Total War 190 95 285 Economy 201 691 892 Health Care 86 88 174 Other 518 126 644 Total995 1000 1995 What is the test statistic for the chi-squared test? Select the appropriate bounds on the P-value. A. P-value .25 B. .20

Explanation / Answer

applying chi square test on above data:

test statisitc for chi square test =539.4596

for p value option L is crrect ; p value <0.001

for conclusion: option A: reject Ho ; we have significant evidence............

Observed OBS 2003 2009 Total war 190 95 285 economy 201 691 892 health care 86 88 174 other 518 126 644 Total 995 1000 1995 Expected Ei=?row*?column/?total 2003 2009 Total war 142.143 142.857 285 economy 444.882 447.118 892 health care 86.782 87.218 174 other 321.193 322.807 644 Total 995 1000 1995 chi square =(Oi-Ei)2/Ei 2003 2009 Total war 16.11 16.03 32.14 economy 133.70 133.027 266.72 health care 0.01 0.007 0.01 other 120.59 119.988 240.58 Total 270.41 269.05 539.460

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