Farmworkers provide us with abundant, safe, healthy food at relatively low cost. They work hard in one of the most dangerous jobs in the nation. Researcher are interested in the studying the poor wages of farmworkers. A sample of 29 US farmworkers had an average wage of $7.25 with a sample standard deviation of 4.2. Researchers are interested in determining whether US farmworkers hourly wage is less than $9.60?. Let α= 0.05 What is the correct null hypothesis for this scenario?



Answer :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given terms

[tex]\begin{gathered} n=29 \\ \mu=7.25 \\ \sigma=4.2 \\ \alpha=0.05 \end{gathered}[/tex]

STEP 2: Get the hypotheses

The alternate hypothesis will be:

US farmworkers hourly wage is less than $9.60

The null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations. This will be:

Farmworkers hourly wage is equal to $9.60

[tex]H_0:\mu=9.60[/tex]