Question

one month before the election, a poll showed 54% planning to vote for a certain candidate. A week later it was discovered that he had an extramariatal affair, and a new poll showed 51% of voters supporting him. What would be an appropiate NULL and alternative hypothosis?

Answer 1

Let p1 = proportion of voters who were planning to vote for a certain candidate during the first poll.
p2 = proportion of voters who were planning to vote for a certain candidate during the second poll.

Null hypothesis -> versus Alternative hypothesis -> $H_1: p_1 \ne p_2$ .

We are testing whether the proportion of voters planning to vote for the candidate remains the same during both the polls.