4. A researcher is trying to figure out if there is an association between drink

Question

4. A researcher is trying to figure out if there is an association between drinking soda pop and obesity in children. She evaluated young people in different cities if they drank soda pop and those that said yes she categorized them into three groups based on their weight: non-obese, obese, and intermediate. Analyze her data. (10 pts) Cincinnati Miami Chicago Count Count Class Count 19 non-obese 23 10 50 43 obese 67 25 intermediate 33 37 5. A farmer mass (in metric tons) produced by two crop species and b) has monitored of grain average rainfall, and drought years. Analyze across above average rainfall (wet), to rainfall. the farmer's data and what they tell him about seed production in response 10 pts Seed Production Rainfall year species Wet 1098 wet 299 wet 387 Wet 755 wet 288 wet 199 drought 413 drought 389 drought 387 drought

Explanation / Answer

Question-4

We have to test the null hypothesis

H0: There is no association between drinking soda population and obesity in children

…versus the alternative hypothesis

H1: There is association between drinking soda population and obesity in children

As class and pop are nominal variable with 3 categories each given in cross tabulation we will apply chi-square test of independent with alpha=0.05.

The results are as follows from where we have not enough evidence to reject the null hypothesis as 2(4)= 6.668, p=0.154>0.04. Hence there is no association between drinking soda population and obesity in children

Chi-Square Test: Cincinnati, Miami, Chicago

Expected counts are printed below observed counts

Chi-Square contributions are printed below expected counts

                    Cincinnati Miami Chicago Total

    Non-obese          23        10       19     52

                       20.83     16.43    14.74

                      0.225     2.516    1.234

    Obese              67        50       43    160

                       64.10    50.55    45.34

                       0.131    0.006    0.121

    Intermediate        33        37       25     95

                       38.06      30.02    26.92

                       0.673      1.625    0.137

   Total         123        97       87    307

Chi-Sq = 6.668, DF = 4, P-Value = 0.154

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