The state Fish and Game Division claims that 75% of the fish in Homestead Creek are rainbow trout. However, the local fishing club caught 189 fish one weekend and found that 125 were rainbow trout. For this problem, assume that no single fish caught more than once. Does this indicate that the percentage of rainbow trout in Homestead Creek different than 75%? Use a = 0.01

1. What is the level of significance? State the null and alternate hypothesis. Will you use a left tailed, right tailed, or two tailed test?

2. Identify the sampling distribution you will use: the standard normal or Student's t distribution. What is the value of the sample test statistic?

3. Find (or estimate) the P value. Sketch the samplingdistribution and show the area corresponding to the P value. (alternate method: Find the critical value(s) and sketch the critical regions and sample test statistic on the normal curve).

4. Based on your answers, will you reject or fail to reject the null hypothesis?

5. Interpet your decision in the context of the application.