Question

Of the 2281 students at a liberal arts college, 249 are fifth-year students. Among a sample of 326 of students from this college, 33 are fifth-year students. A.Find the population proportion of fifth-year students.

B.Find the sample proportion of fifth-year students

C.Round to 3 decimal places.

Answer 1

The population proportion of fifth-year students is 10.9%, while the sample proportion is 10.1%.

To find the population proportion of fifth-year students, we divide the number of fifth-year students by the total number of students at the college. The population proportion can be calculated using the formula: Population Proportion = Number of fifth-year students / Total number of students

Plugging in the given values, we have:Population Proportion = 249 / 2281 = 0.109Therefore, the population proportion of fifth-year students is 0.109 or 10.9% (rounded to 3 decimal places).To find the sample proportion of fifth-year students, we divide the number of fifth-year students in the sample by the total number of students in the sample. The sample proportion can be calculated using the formula: Sample Proportion = Number of fifth-year students in sample / Total number of students in sample

Plugging in the given values, we have: Sample Proportion = 33 / 326 = 0.101. Therefore, the sample proportion of fifth-year students is 0.101 or 10.1% (rounded to 3 decimal places).