We aim to verify the assertion that generally, 10% of students repeat a course, leading us to this hypothesis setup:
Null hypothesis:
Alternative hypothesis.
The most fitting choice for this scenario is:
d) H0:p=0.1 vs. H1:p ≠ 0.1.
For this case, the provided information includes: the number of students repeating the course, the selected sample size, and the estimated proportion of repeaters. We are testing the claim that generally, 10% of students retake classes, which will be validated through established hypotheses.
Response:
.
Step-by-step explanation:
It is established that the surface area S of a single-celled organism can be calculated by multiplying 4π by the square of the cell's radius r.
We need to portray S as a function of r.
Let r represent the radius of the cell and S(r) denote the surface area of the single-celled organism corresponding to radius r.
Based on the question,
Therefore, the required function is
.