An investigation of environmental causes of disease collected data on the annual

Question

An investigation of environmental causes of disease collected data on the annual mortality rate (deaths per 100.000) for males in 20 large towns in a region Also the water hardness was recorded as the calcium concentration parts per million or ppm) in the drinking water The scatterplot and the regression analysis of the relationship between mortality and calcium concentration where the depended variable is Mortality are shown below Complete parts a through d. a) Is there an association between the hardness of the water and the mortality rate? Wine the appropriate hypotheses A. H_0 beta_1 notequalto 0 vs H_A beta_1 = 0 B H_0 beta_1 = 0 vs H_A beta_1 > 0 C. H_0 beta_1 = 0 vs H_A beta_1 notequalto 0 D. H_0 beta_1 vs H_A beta_1

Explanation / Answer

a) option C is correct

b)

test statistic =b1/std error =-2.58/1.60=-1.613

p value =0.1242

fail to reject null hypothesis. the data does not provide sufficient.............

c)

for 90% CI and (n-2=18) degree of freedom ; critical value of t =1.734

hence 90% confidence interval =sample mean -/+ t*std error =-2.58 -/+ 1.734*1.60= -5.3545 ; 0.1945

d)

option D is correct

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