A study was performed looking at the risk of fractures in three rural Iowa communities according to whether their drinking water was “higher calcium,” “higher fluorides,” or “control” as determined by water samples. Table 11.10 presents data comparing the rate of fractures (over 5 years) between the higher-calcium vs the control communities for women ages 20–35 and 55–80, respectively .

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A study was performed looking at the risk of fractures in three rural Iowa communities according to whether their drinking water was “higher calcium,” “higher fluorides,” or “control” as determined by water samples. Table 11.10 presents data comparing the rate of fractures (over 5 years) between the higher-calcium vs the control communities for women ages 20–35 and 55–80, respectively .

Table 11.10 Relationship of calcium content of drinking water to the rate of fractures in rural Iowa

Ages

20-35

Number of women with fractures Total number of women

Ages

55-80

Number of woemn with fractures Total number of women
Control 3 37 Control 11 121
High calcium 1 33 High calcium 21 148

13.1 What test can be used to compare the fracturerates in these two communities while controlling for age?

13.2 Implement the test in Problem 13.1, report a p-value, and make a conclusion on relationship between drinking water calcium concentration and rate of fracture based on the p-value.

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