A national soccer team scores 1 goal per game on average. Letthe data from the past 20 games be given by1,2,2,1,1,1,1,2,1,4,0,2,3,0,2,1,0,3,4,1. Using this information,please answer the following questions.
(a) (1 point) What is an appropriate statistical model for thenumber of goals scored in a given game if modeled by a randomvariable X taking values in {0, 1, 2, . . .}? (b) (1 point)Formulate an appropriate two-sided testing problem for the model’sparameter in (a).
(c) (3 points) Use the likelihood ratio test statistic to test thenull hypothesis in (b).
(d) (2+3 points) Make a decision on the null hypothesis in (b) bymeans of - an appropriate confidence interval - an appropriatep-value.
