Question

A news organization previously stated that three of four people believed that the state of the economy was the country's most significant concern. They would like to test the new data against this prior belief. The MOST appropriate hypotheses are: a. H0: p = 0.75, Ha: p > 0.75. b. H0: p = 0.65, Ha: p < 0.65. c. H0: p = 0.65, Ha: p > 0.65. d. H0: p = 0.75, Ha: p ≠ 0.75.

Answer 1

Answer:

Option d)

$H_{0}: p = 0.75\\H_A: p \neq 0.75$

Step-by-step explanation:

We are given the following in the question:

Three of four people believed that the state of the economy was the country's most significant concern.

They would like to test the new data against this prior belief.

The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.

The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

$p =\dfrac{3}{4} = 0.75$

We design the null and the alternate hypothesis  

$H_{0}: p = 0.75\\H_A: p \neq 0.75$