Question

for the following conjecture, state the null and alternative hypotheses. the average annual income for a cashier is $27,923. the null hypothesis is $h_{0}$: . the alternative hypothesis is $h_{1}$: .

Explanation:

Step1: Define null hypothesis

The null hypothesis \( H_0 \) assumes no difference. Here, it assumes the average annual income (\(\mu\)) is equal to the stated value. So, \( H_0: \mu = 27923 \).

Step2: Define alternative hypothesis

The alternative hypothesis \( H_1 \) is what we might believe if the null is rejected. Since there's no prior indication of direction (like "greater than" or "less than"), a two - tailed test is appropriate. So, \( H_1: \mu
eq 27923 \).

Answer:

The null hypothesis is \( H_0: \mu = 27923 \).
The alternative hypothesis is \( H_1: \mu
eq 27923 \).