Discuss the below:
Q: Level of education attained by the women from a rural region is divided into three categories: can read/write degree; primary degree; secondary and above degree. A demographer estimates that 28% of them have can read/write degree, 61% have primary degree and 11% have higher secondary degree. In order to verify these percentages, a random sample of n = 100 women at the region were selected and their level of education recorded. The number of the women whose level of education falling into each of the three categories is shown below:
Level of education
Can read/write Primary Secondary and above
Cell probability p1 = .28 p2=.61 p3 =.11
Do the observed responses for the sample of 100 women disagree with the category probabilities based on the demographer's estimates?