Please show all work Thank you !! 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 samplewere distributed as follows.CatfishBassBluegillPike1249521071n USE SALTIn the 5-year interval, did the distribution of fish change at the 0.05 level?(a) What is the level of significance?0.05Enter a number.State the nuim and alternate hypotheses.O Ho: The distributions are different. H,: The distributions are different.Ho: The distributions are the same. H,: The distributions are the same.1°: The distributions are the same. H,: The distributions are different.HoC Ho: The distributions are different. H,: 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 YesO NoWhat sampling distribution will you use?O Student'sto chi-squareo uniformo binomialnormalWhat are the degrees of freedom?

Name: Please show all work Thank you !! The Fish and Game Department stocke
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please show all work Thank you !! 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 chan