Respuesta :
Answer:
[tex]H_{0}: p \leq 0.6\\H_A: p > 0.6[/tex]
Step-by-step explanation:
We are given the following in the question:
Percentage of vote required for constitutional amendment = 60%
p = 60% = 0.6
Hypothesis:
More than sixty percent of the voters would support a new amendment about higher education.
We design the null and the alternate hypothesis
[tex]H_{0}: p \leq 0.6\\H_A: p > 0.6[/tex]
Interpretation:
The null hypothesis states that less than or equal to 60% of the voter support the new amendment and the alternative hypothesis states that gretaer than 60% supports the amendment about higher education.
According to the situation stated in the problem:
- The null hypothesis is [tex]H_0: p \leq 0.6[/tex]
- The alternative hypothesis is: [tex]H_1: p > 0.6[/tex].
Basically, the null and alternative hypothesis are inverse of each other, and depending on what we want to test.
In this problem, we want to test if there is enough evidence if the proportion is greater than 60%.
At the null hypothesis, we consider that the proportion is of at most 60%, that is:
[tex]H_0: p \leq 0.6[/tex]
At the alternative hypothesis, we test if it is above 60%, that is:
[tex]H_1: p > 0.6[/tex].
A similar problem is given at https://brainly.com/question/15245021
