Fackler (2012) reported in the New York Times that Japanese farmers have become skeptical of the Japanese government’s assurances that radiation levels were within legal limits in the wake of the 2011 tsunami and radiation disaster at Fukushima. After reports of safe levels in Onami, more than 12 concerned farmers tested their crops and found dangerously high levels of cesium. 

a. If the farmers wanted to conduct a z test comparing their results to the cesium levels found in areas that had not been exposed to the radiation, what would their sample be? Be specific. 

b. Conduct step 1 of hypothesis testing. 

c. Conduct step 2 of hypothesis testing. 

d. Conduct step 4 of hypothesis testing for a two tailed test and a p level of 0.05. 

e. Imagine that the farmers calculated a z statistic of 3.2 for their sample. Conduct step 6 of hypothesis testing. 

f. If the farmers’ conclusions were incorrect, what type of error would they have made? Explain your answer.