Radon is a colorless, odorless, and inertgas which can causecancer when inhaled into the lungs. When the health department is investigating radon poisoning in apartment buildings, they perform a seriesof gas measurements in apartmentsaround the building. If more than 20% of theapartmentsshow radon levelsof greater than 4 pCi/L, the buildings foundation must be investigated, which is costly for the building owners and disruptive for building residents. A given apartmentcomplexhas500 apartments. Investigatorswanttorandomtychoose50 apartments from around thecomplexand test thoseapartments. Theapartmentswill betagged H if their radon levelis above4 pCi/Land Lif it is at or belowthis value. b. Define the parameter of interest and state the null and alternative hypotheses used for testing theapartments. In thecontextofthe situation, describe Type 1 and Type 2 errors and describe the consequences of each. When the investigators perform their test, they find that 17 of the 50 apartments test with high levelsof radon. Performa 1 SampleZ Testfor P at the 95% confidence leveland state the conclusion of the investigators in context.