Alarge fishing farm with thousands of fish has been treating its fish to stop spreading a fungal infection. a random sample of 50 fish is taken to estimate the proportion (p) of fish that are infected in this population. a careful examination determines that 6 of the fish sampled are infected. a. determine the 95% confidence interval for the population proportion of infected fish. b. the infection would be considered "contained" if fewer than 25% of the fish were infected. provide the null and alternative hypotheses needed to investigate this claim. c. what is the standard error for this set of hypotheses? d. what are the test statistic and the p-value? what conclusion would you make (in the context of the situation), using a significance level of 0.05?