Question

It is believed that 80% of BECE candidate who pass mathematics are males, however, a random sample of 40 BECE graduates who passed mathematics revealed that only 16 of them are males. Does the sample satisfy the assumption?

Answer 1

In statistics, a proportion test or chi-square goodness of fit test would be used to assess whether the sample of 40 BECE graduates with 16 males satisfies the assumed 80% male proportion.

Step-by-step explanation:

The subject in question here is statistics, which is a branch of Mathematics. The specific concept being tested is the validity of an assumption of a proportion in a population based on sample data. To determine if the sample of 40 BECE graduates, with only 16 males, satisfies the assumption that 80% of BECE candidates who pass mathematics are males, we can use a statistical test such as a proportion test or a chi-square goodness of fit test. These tests would compare the observed proportion in the sample (16/40) with the assumed population proportion (80%) to determine if the difference is statistically significant or could be due to random chance.