(10pt) my research claim is that the population median salary for college engineering grad- uates exceeds 60,000. (a) (3pt) a random sample of 10 engineers gave the following salaries (in thousands): 61, 60, 62, 63, 61, 65, 59, 55, 90, and 70. q1: what are the two competing statistical hypotheses for an exact sign test? q2: how to compute the corresponding test statistic? q3: what is the value of the test statistic in this case? (b) (3pt) a random sample of 1000 computer science graduates had 600 graduates with a salary exceeding 60,000. using the large sample sign test, calculate the test statistic, find your p-value, and interpret the result. (c) (2pt) how to compute the point estimator for the population median? based on the data given in (a), what is the value of the point estimator for the population median? (d) (2pt) based on the data given in (a), construct a 95% large sample confidence in- terval for a population median.