Question 1. [7 marks total] parental leave is often compensated to some degree, but the amount of compensation varies greatly. you read a research article that stated, "across people of all incomes, 47% of leave-takers received full pay during their leave, 16% received partial pay, and 37% received no pay." after reading this, you wonder what the distribution of parental leave payment pay is for low income households. suppose you conduct a survey of leave-takers within households earning less than $30,000 per year. you surveyed 225 people (selected in a random sample) and found that 51 received full pay, 33 received partial pay, and 141 received no pay..you would like to investigate whether the distribution of pay for households earning < $30,000 is different from that of all income levels. does this correspond to a chi-square test of independence or a chi-square test for goodness of fit?