A recent headline announced that the mountain biking might affect fertility in men. The article was based upon a study that found that 14% of avid mountain bikers in the study had low sperm counts, and 26% of the non-bikers in the study had low sperm counts.
a. What further information would you need in order to do the calculations for the appropriate hypothesis test?
b. What further information would you need in order to determine whether the technical conditions of this hypothesis test are satisfied?
c. If the technical conditions are satisfied, and if the p-value turns out to be very small, would you conclude that avid mountain biking causes lower sperm counts? Explain briefly.