Of the adult Fiji population, 42% has a rare allergy due to expose to domestic cat. A sample of 500 randomly selected adults resulted in 65% reporting the certain allergy.

Question

Of the adult Fiji population, 42% has a rare allergy due to expose to domestic cat. A sample of 500 randomly selected adults resulted in 65% reporting the certain allergy.

i)Describe the variable, population and sample.
ii)Identify the parameter and give its value.

Answer 1

i) The variable in this scenario is the presence of a rare allergy due to exposure to domestic cats. The population refers to the entire adult population of Fiji, while the sample refers to the 500 randomly selected adults who were surveyed.

ii) The parameter in this case is the proportion of the adult Fiji population that has the rare allergy. Given that 42% of the adult Fiji population has the allergy, the value of the parameter is 0.42.