An instructor at a major research university occasionally teaches summer session and notices that that there are often students

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An instructor at a major research university occasionally teaches summer session and notices that that there are often students

repeating the class. Out of curiosity, she designs a random sample of students enrolled in summer sessions and counts the number repeating a class. She counts 105 students in the sample, of which 19 are repeating the class.She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are:
a) H0:p? =0.181 vs. H?:p=0.1 .
b) H0:p=0.1 vs. H?:p?0.18 .
c) H0:p=0.1 vs. H?:p? =0.181 .
d) H0:p=0.1 vs. H?:p?0.1 .

Mathematics

1 answer:

zzz [12.3K] · Answer 1 · 2026-04-08T20:41:02+03:00

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.