The choice of January 1 as a starting date is arbitrary. The results might be different if we start on a different date. For each of the days January 2 through January 7, construct a data set starting with that date and containing every seventh day thereafter. Use each of these data sets to perform the analysis in Exercises 17 and 18. Do your conclusions change?

Data From Exercise 17:

Drop the dates in which the record high occurred more than once, and perform a test where the alternative hypothesis is that the proportion of record highs occurring after 1945 is greater than 0.5 . What do you conclude?

Data From Exercise 18:

Drop the dates in which the record low occurred more than once, and perform a test where the alternative hypothesis is that the proportion of record lows occurring after 1945 is less than 0.5 . What do you conclude?