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Four parties participated in the last Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal

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Four parties participated in the last Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%. A survey of 1000 voters asked each to identify the party that they would vote for in the next election. These results were PC=420, NDP=260, Liberal=275, and Green party = 45. Can we infer at 2.5% level of significance that the voter support is going to change in the next election? For part (a), round your answers in the right column to 3 decimal places. (a) Fill in the table below. Observed Frequency O (0-E) Party Expected Frequency E E PC NDP Liberal Green Party Totals x-1 (0-E) E (b) State the null and alternative hypotheses, and identify which one is the claim. Ho: Select an answer H: Select an answer Which one is the claim: OH Ho (c) Enter the number of degrees of freedom df = For part (d), round your answer to 3 decimal places. (d) What is the critical value x (e) is the null hypothesis rejected? O No O Yes (f) is the claim supported? O At 2.5% significance level, there is sufficient sample evidence to support the claim that the voter support is going to change in the next election. O At 2.5% significance level, there is not sufficient sample evidence to support the claim that the voter support is going to change in the next election.

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