Candidate A believes that 54 of the voters are supporting hi

Candidate A believes that 54% of the voters are supporting him. His opponent believes that this estimate is too high. What is the appropriate null and alternative hypothesis to be tested by the opponent?

H₀ : p = 0.54 vs H₁ : p > 0.54

H₀ : p 0.54 vs H₁ : p > 0.54

H₀ : p = 0.54 vs H₁ : p < 0.54

H₀ : p = 0.54 vs H₁ : p 0.54

the answer is C????

Solution

Candidate A believes that 54 % of the voters support him.

So the null hypothsis here is H₀ :p=0.54

We reject the null hypothesis if the proportion is less than 0.54,i.e. if the percentage of voters supporting candidate A is less than 54

then the alternative hypothesis is H₁:p<0.54

so option C is correct