Hello, I just can\'t figure out what X 2 is supposed to be. Thank you A particul

Question

Hello, I just can't figure out what X2 is supposed to be. Thank you

A particular study surveys more than 22,000 Americans over the age of 50 every two years. A subsample of this study participated in an Internet-based survey that collected information on a number of topical areas, including health (physical and mental health behaviors), psycho-social items, economics (income, assets, expectations, and consumption), and retirement. Two of the questions asked were as follows 1. "Would you say your health is excellent, very good, good, fair, or poor?" 2. "Do you smoke cigarettes now?" Here is the two-way table that summarizes the answers on these two questions. Current Smoker Health Excellent Very Good Good Fair Poor Yes 25 105 155 90 29 No 486 1,551 1,307 535 (a) Do these data satisfy our guidelines for safe use of the chi-square test? Yes, because more than 20% of expected cell counts are less than 5 O Yes, because no more than 20% of expected cell counts are less than 5 No, because more than 20% of expected cell counts are less than 5 No, because no more than 20% of expected cell counts are less than 5. (b) Is there a statistically significant relationship between smoking status and opinions about health? (Use = 0.01 and this table of significance levels. Round your chi-square statistic to three decimal places.) Since and df = 4 we find that there is a statistically significant relationship between smoking status and opinions about health.

Explanation / Answer

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

Results Yes No Row Totals Excellent 25  (48.08)  [11.08] 486  (462.92)  [1.15] 511 Very Good 105  (155.80)  [16.57] 1551  (1500.20)  [1.72] 1656 Good 155  (137.55)  [2.21] 1307  (1324.45)  [0.23] 1462 Fair 90  (58.80)  [16.55] 535  (566.20)  [1.72] 625 Poor 29  (3.76)  [169.23] 11  (36.24)  [17.58] 40 Column Totals 404 3890 4294  (Grand Total)

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