n football leagues, statistics such as the success rate of goal scoring and the percentage of complete passes, to name just a few are collected for the players. Cristiano Kweh, who is a player at British Premier League, has a career completion percentage of 55%. Cristiano got a new coach and then played a few games where he completed 48 of 100 passes.

Required:

a. Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach.(1 mark)

b. Calculate the value of the test statistic and thep-value.(2 marks)

c. At the 5% significance level, can you conclude that Cristiano's completion percentage has decreased?(2 marks)