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Bass Perch 15% 22% 22% 15% Walleye Bluegill 19% 13% 19% 13% Trout 14% 17% Pike 14% 17% The pie chart shows the old breakdown

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Bass Perch 15% 22% 22% 15% Walleye Bluegill 19% 13% 19% 13% Trout 14% 17% Pike 14% 17% The pie chart shows the old breakdown of fish in a lake. At a 5% Level of Significance, test to see if the distribution of fish in the lake has changed. The bar graph shows results from a recent random sample. 20- 18 16- 14- 12- 10 Bass Walleye Pike Trout Bluegill Perch Fish by species Q 1. The hypotheses are : Ho:Fish distribution has changed from that shown in the pie chart Ha: Fish distribution has not changed from that shown in the pie chart O Ho:Fish distribution has not changed from that shown in the pie chart Ha:Fish distribution has changed from that shown in the pie chart 2. This is a O left two right tailed test; d.f. = 5 3a. The STS (to 2 decimals) is x2 = 3b. The P-value (to 3 decimals) =

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