A marketing firm carried out a telephone poll, seeking the opinions of New Zealanders, aged 18 years and over, as to whether New Zealand should change its flag. The marketing firm randomly selected 500 phone numbers from the telephone directories of the four main centres: Auckland, Wellington, Christchurch and Dunedin. To endeavour to make sure that most people would be home, the poll was conducted on Wednesday between 6pm and 7pm. They asked to speak to a person in the house who was 18 years of age, or over. [Note: telephone directories are books of phone numbers where only landline numbers are listed for residential addresses] The Marketing firm found that 32% wanted the flag changed, 54% did not want the flag changed, and the rest of the respondents had no opinion. (a) What is the population of interest? [1] (b) What is the sample? [1] (c) What is the variable of interest? [1] (d) Use two words to describe the data type of the variable of interest - select from Discrete, Categorical, Continuous, Numerical, Ordinal, Nominal [1] (e) Do you think that a representative sample has been gathered? Give two reasons to support your claim. [2]