Question

Examine the given statement, then express the null hypothesis and alternative hypothesis in symbolic form. Do not try to test i

The mean salary of teachers of CCP is more than $40000.

a)
=40000

b)
40000

c)
>40000

d)
<40000

e)
40000

f)

40000

The null hypothesis is
[ Select ]
.

The alternative hypothesis is

Answer 1

In hypothesis testing, the null hypothesis (denoted as \( H_0 \)) usually represents a statement of no effect or no difference, while the alternative hypothesis (denoted as \( H_a \) or \( H_1 \)) represents the statement we are trying to find evidence for.

Given the statement "The mean salary of teachers of CCP is more than $40000," we can define the hypotheses as follows:

- Let \( \mu \) represent the mean salary of teachers of CCP.

The null and alternative hypotheses can be written in symbolic form as:

- Null Hypothesis (\( H_0 \)): \( \mu \leq 40000 \)
- Alternative Hypothesis (\( H_a \)): \( \mu > 40000 \)

So the compact form of your answer is:

The null hypothesis is \( H_0: \mu \leq 40000 \).

The alternative hypothesis is \( H_a: \mu > 40000 \).