The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows. Catfish Bass Bluegill Pike 124 75 228 73 USE SALT In the 5-year interval, did the distribution of fish change at the 0.05 level? (a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are the same. H₁: The distributions are different. Ho: The distributions are different. H₁: The distributions are different. O Ho: The distributions are different. M₁: The distributions are the same. O Ho: The distributions are the same. H₁: The distributions are the same (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O chi-square O binomial O normal O Student's t What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. OP-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 OP-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories? O Since the P-value > a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. O Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, the evidence is insufficient to conclude that current fish distribution is different than that of five years ago. O At the 5% level of significance, the evidence is sufficient to conclude that current fish distribution is different than that of five years ago.

Help

Find leg

Simplify. V48 + V75 + V12 = %3D Submit Question

distrib 0.2061 OK

3x + 5y = 32.75 4x + 4y = 29

The following data, reproduced from Table 3.8 of Example 3-14, give the frequency distri- bution of the daily commuting times (in minutes) from home to work for all 25 employees of a company. Daily Commuting Time (minutes) 0 to less than 10 10 to less than 20 20 to less than 30 30 to less than 40 40 to less than 50 Calculate the variance and standard deviation. Number of Employees 49642