IMathAS-libretexts

The mortality rate from melanoma (skin cancer) during the 1950s was recorded for each of the 48 contiguous United States, plus Washington D.C. (as reported by Fisher and Van Belle (1993) and found on http://www.stat.psu.edu/~lsimon/stat501wc/sp05/data/).

The following is the scatterplot of the data:

The plot shows a negative linear relationship between the latitude of the state and melanoma mortality rate.

Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this observed linear relationship between latitude and melanoma mortality rate. The appropriate hypotheses are:

H₀: melanoma mortality rate is related to latitude
H_a: melanoma mortality rate is not related to latitude
H₀: melanoma mortality rate is not related to latitude
H_a: melanoma mortality rate is related to latitude
H₀: melanoma mortality rate is linearly related to latitude
H_a: melanoma mortality rate is not linearly related to latitude
H₀: melanoma mortality rate is not linearly related to latitude
H_a: melanoma mortality rate is linearly related to latitude

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