Question

An opinion poll asked a random sample of adults whether they believe flu shots are ineffective in the United States. A commentator believes less than 35% of all adults believe they are ineffective. Which null and alternative hypotheses should be used to test this claim? H0: p ≠ 0.35, Ha: p 0.35

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The second option is the correct option

Explanation:

From the question we are told that

The sample proportion is
`\r p = 0.35`

The Null Hypothesis is
`H_o : \r p = 0.35`

The reason for this is that the this original claim when represented mathematically does not contain an equality sign (
`i.e \ it \ is \ mathematically \ represented \ as \ \r p < 0.35`) so the null hypothesis is the compliment of it ( i.e
`\r p = 0.35`)

The Alternative hypothesis is
`H_a : \r p < 0.35`