Question

3. (4 pts) The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than areas without nuclear facilities. A spokesperson for the institute said "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities. However, no study can prove the absence of an affect." Let po be the proportion of people with cancer that live in areas without nuclear facilities. And let p be the proportion of the population in areas near nuclear power plants who die of cancer during a given year. (a) (1 pt) What would be the null and alternative hypotheses to determine if cancer death rates are higher for those living near power plants? (b) (1 pt) Did the researchers reject Ho or fail to reject Ho? (c) (1 pt) If the Cancer Institute researchers were incorrect in their conclusion that there is no increased cancer risk associated with living near a nuclear power plant, are they making a type I or type II error? (d) (1 pt) Comment on the spokesperson's last statement that no study can prove the absence of an effect. Do you agree with the statement?

Answer 1

ANNAR m) Hynducere rost given facilities (nut hypotyras) "Op. value for anaua without nucleo Hoi pill 19: ps value roy aneas witbull nucleor facilities. in areas maar nuclear ”denotes the proportion of population Xem Hunt who died duong year Null hypothesis rejection Fotel to Teace nun hypothesis lie; Ho. considered the proportion of cancer charths. for areas worth nuclear facilities and testing the proportions of cancer death water for Crecis Clmthout nucler facilities. The neasearchere we are incorrect in their conclusion that met increased cancer rigk associate with living nedy o nuclear rowerplant, le; accepting null hypothesis mpact the null hypothesis is false · This type of error is called type of error (d) Spokes persons final statement " However, no study can prove the absence of effect is true since there is no data existing at present to include that the area of nuclear faciliores have increcued risk of death than the non nuclear facility areas. *** - "Thaniing Thonring you you