Question #tiepoints) Melanoma is a rare form of skin cancer. UV exposure is a ma
ID: 3364573 • Letter: Q
Question
Question #tiepoints) Melanoma is a rare form of skin cancer. UV exposure is a maior risk factor for melanoma. Some body parts are regularly more exposed to the sun than others. Researchers want to examine if that will be reflected in the distribution of location on the body. Random sample of 310 women diagnosed with melanoma was classified according to the known location of the melanoma on their body. Results are given in the table below Location Observed counts75 Head/NeckTrunk Uper Limbs Lower Limbs 54 80 101 Assuming these four body parts represent roughly equal skin areas, do data support the hypothesis that melanoma occurs evenly on the body? Test hypotheses listed below by means of Chi-square Goodness- of- Fit test use =0.05 Ho : Melanoma occurs evenly on the body H Melanoma does not occur evenly on the body a) points) Compute the expected counts under assumption that Ho is true Head/Neck Trunk Uper Limbs Lower Limbs Location Expected counts b 2: 14.41 Give p-value for your test points) The test statistic for your test is . u may compute it directly using an appropriate calculator function or estimate it trom tables. Use and list appropriate degrees of freedom and include a sketch explaining your answer P-value: Degrees of freedom: Sketch:Explanation / Answer
a)
There are four locations so expected ferquency for each location must be same.
There expected freqeuncy for each location is 310 /4 = 77.5
Following is the completed table:
b)
Degree of freedom: df=4-1=3
The p-value is : 0.0024
d)
Since p-value is less than 0.05 so we reject the null hypothesis.
Correct option is 2.
Location Expected count Head/Neck 77.5 Trunk 77.5 Uper Limbs 77.5 Lower Limbs 77.5