#3 The fish and game department stocked a new lake with the following distribution of game fish. Initial stocking distribution Fish Pike Trout Perch Bass Percent 10% 15% 20% 25% Bluegill 30% After 5 years, a random sample of 197 fish from the lake was netted, identified, and released. The sample distribution is show below: Fish Number Pike 35 Trout 17 Perch Bass 33 55 Bluegill 57 Is the sample distribution in the lake after 5 years a good fit to the initial stocking distribution at the 5% level of significance? a.) (5 points) What type of test is this? b.) (5 points)State the null and alternate hypothesis c.) (10 points)What is the sample test statistic and degrees of freedom? d.) (5 points)What is the p-value? e.) (5 points)What is the conclusion? f.) (10 points) Interpret the results