Question

It is believed that 44% of all Americans eat breakfast every day. For a class project, you randomly select Clemson students and ask each if they eat breakfast. You are interested in determining if the proportion of all Clemson students who eat breakfast is different from 0.44. What is the null hypothesis

Answer 1

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis:
`p =0.44`

Alternative hypothesis:
`p \\eq 0.44`

Explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis:
`p =0.44`

Alternative hypothesis:
`p \\eq 0.44`