Four parties participated in 2018 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=254, Liberal=269, and Green party = 57. Can we infer at 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.

Party	Observed FrequencyOO	Expected Frequency EE	(OE)2E(O-E)2E
PC
NDP
Liberal
Green Party
Totals			2=(OE)2E=2=(O-E)2E=

(b) State the null and alternative hypotheses, and identify which one is the claim. H0H0: Select an answer At least one of the frequencies stays the same. All of the frequencies stay the same. At least one of the frequencies changes. At most one of the frequencies changes. At least two of the frequencies stay the same. H1H1: Select an answer At least one of the frequencies stays the same. At least two of the frequencies stay the same. All of the frequencies stay the same. At most one of the frequencies changes. At least one of the frequencies changes. Which one is the claim:

• H0H0
• H1H1

(c) Enter the number of degrees of freedom df=df=

For part (d), round your answer to 3 decimal places.

(d) What is the critical value 2cr=cr2= (e) Is the null hypothesis rejected?

• Yes
• No

(f) Is the claim supported?

• At 5% significance level, there is sufficient sample evidence to support the claim that the voter support is going to change in the next election.
• At 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.