8. (4 points) If we calculate our Chi-Square test statistic and find p.05 what c

Question

8. (4 points) If we calculate our Chi-Square test statistic and find p.05 what can we co) Each ethnicity group within our study differs significantly from the American distribution of ethnicity (b) The distribution by ethnicity for our study follows the American distribution by ethnicity (o) The American distribution of proportions for each ethnic group, does not follow the true population proportions obtained in the sample (d) We do not have enough information to answer this question. (e) At least one true proportion is not equal to the hypothesized proportion skin a. Some body 9. (4 points) Melanoma is a rare form of skin cancer tha t accounts for the great majority of cancer fatalities. Ultra violet (UV) exposure is a major risk factor for me part s are more exposed to the sun than others. Would this be reflected in the distribution of body in a population? A random sample of 310 women diagnosed body, and the melanoma locations on the with melanoma was classified according the locations of the melanomas on their result is summarized below: Observed Values Location Count Head/neck 45 Lower limbs-LTo Trunk Upper limbs 34 80 151 310 Under the null hypothesis that melanoma occurs evenly on the body, calculate the value of the Chi-square test statistic. (a) 10.38 (b) 0 (c) 1.18 (d) 8357 (e) 107.83 the difference between two proportic is (-0.217, 0.311). This indicates a significant difference between the two proportions (a) True (b) False (c) Can't tell without the data

Explanation / Answer

9.

chi-square = 107.83

10)

the given statement is false

Because the CI includes 0 in it which means there are not significant evidence to conclude that the difference in proportions is different than 0

Location Observed Frequency Expected Frequency (Ei) (Oi - Ei)^2/Ei Head/neck 45 77.5 13.62903226 Trunk 80 77.5 0.080645161 Upper limbs 34 77.5 24.41612903 Lower limbs 151 77.5 69.70645161 310 107.8322581

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