The BODYFAT dataset was developed using randomly selected patients who were treated by a particular sports injury rehabilitation group. The purpose was to determine if girth (in centimeters) could be used to predict body fat (as a percentage) and to estimate the percentage of body fat (with 99% confidence) of a person who has a girth of 150cm. Girth is easily and accurately evaluated with a tape measure. Body fat percentage is measured via hydrostatic weighing, but this is too expensive and impractical to be easily deployed in most physicians' offices. Please conduct this analysis using a 1% significance level.

Girth Fat%
99.1 19.0
76.0 8.4
83.1 9.2
88.5 21.8
118.0 33.6
104.3 31.7
79.5 6.4
108.8 24.6
81.9 4.1
76.6 12.8
88.7 12.3
90.9 8.5
89.0 26.0
78.0 7.3
83.2 13.4
85.6 22.3
90.3 20.2
104.5 16.8
95.6 18.4
103.1 27.7
89.9 17.4
104.0 26.4
95.3 11.3
105.0 27.1
83.5 17.2
86.7 10.7
93.0 18.1
76.0 13.7
106.1 28.1
109.3 23.0
104.3 30.8
100.5 16.5
77.9 7.4
101.6 18.2
99.7 25.1
96.7 16.1
95.8 30.2
104.8 25.4
92.4 25.9
95.0 21.6
86.0 8.8
90.6 19.5
105.5 31.0
79.4 10.4
126.2 33.1
98.0 20.2
95.5 21.9
73.7 11.2
86.4 10.9
122.1 45.1

a. For data set above: What value of alpha (as a proportion and not as a percent) will be used for this analysis?