10. A random survey of95 students asked each student to select hislher most preferred form of recreational activity from four choices. Following are the results of the survey. a] Fill in the missing values for the table. Recreational Choice mmmm 22 3 2 15 12 2? b} what is the probability a surveyed student Iwas a male and chose basketball? Is this a marginal. conditional, or joint probability? cl Calculate the probability that a surveyed student chose jogging. Is this a marginal. conditional. orjoint probability? d} 0i the students who chose swimming, what percent of surveyed students were female? Is this a marginal, conditional, or joint probability? a! What is the probability that a surveyed student did not choose baseball? Is this a marginal, conditional, or joint probability? i} Create a table of expected counts. Recreational Choice 3] Create a table of partial;2 values. Recreational Choice h} What Is the value of the 12 test statistic. and Identli'y the degrees of freedom? I} Using a significance level of a = 0.01, state your conclusion of this chi-square test in terms of the background information, and m athemat ically ex plain why you came to this conclusiom