Question

Last year political party A received 50% of the votes and parties B and C received 25% each.

For the upcoming elections, the null hypothesis is that the proportion of people who will vote for party A will be the same as last year.

The alternative hypothesis is that proportion will change.

During the first hour for the upcoming elections 50 people voted for party A, 25 people voted for party B, 25 people voted for party C.

But after that, 50 people voted for party A and people did not vote for party B and C.

How did the chi-squared statistic change after the first hour?

Answer 1

Explanation:

Given that last year political party A received 50% of the votes and parties B and C received 25% each.

For the upcoming elections, the null hypothesis is that the proportion of people who will vote for party A will be the same as last year.

H0: Proportions remain the same

Ha: Proportions are different

(Two tailed chi square test)

Expected as per H0 is

50 25 25

Observed in I hour

50 25 25

Hence chi square =0

Next hour observed is

50 0 0

against expected

25 12.5 12.5

Thus chi square now is

50

Chi square in II hour has become 50 as against 0 in the I hour.