Answer:
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:
Alternative hypothesis:
Step-by-step 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:
Alternative hypothesis:
Given parameters:
Current population = 530,300 people
Growth rate = 0.8% per year
Unknown
Population in 15 more years = ?
To solve this problem, we must compound the increase per year.
This implies that we treat the problem like that of a compound interest.
Since we know that population increases by 0.8%,
it is similar to 1 + = 1.008 increase
Now the population in 15years will be;
530300 x (1.008)¹⁵ = 597626 people
So, the population after 15yrs is 597626 people