Question: Using the HSB data: The High School and Beyond data is from a large-scale longitudinal study conducted by the National Opinion Research Center (1980) under contract with the National Center for Education Statistics. Below is a table (note: this is called summarized data!) representing a sample of 100 students from this data that includes the student’s gender and whether the high school they attended was public or private. Note: if you did the activity for the probability lesson this would be a test of independence: that is, can we say that the probability of being Female is independent of the probability that school type is public?

(i) Complete following table using conditional percents (this would be the row percents),

(ii) based on the percents, discuss the nature of any relationship, and

(iii) do a chi-square test of statistical significance. State a clear conclusion for the test of significance.