Asked by Lillian Hernandez on May 06, 2024

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At a local university,only 62% of the original freshman class graduated in four years.Has this percentage changed?

A) H0: p ≠ 0.62 HA: p = 0.62
B) H0: p < 0.62 HA: p > 0.62
C) H0: p < 0.62 HA: p = 0.62
D) H0: p = 0.62 HA: p ≠ 0.62
E) H0: p = 0.62 HA: p < 0.62

Freshman Class

The group of students in their first year at a high school, college, or university.

Graduated

Having completed a course of study and received a diploma or degree from an educational institution.

Alternative Hypothesis

A statement in statistics that indicates something is true, different from the null hypothesis, usually suggesting a new effect or phenomenon.

  • Learn the fundamentals of hypothesis testing, covering the formulation of null and alternative hypotheses.
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TH
Tyree HollimanMay 07, 2024
Final Answer :
D
Explanation :
H0: p = 0.62 represents the null hypothesis that the proportion of students graduating in four years is 0.62 in the population.
HA: p ≠ 0.62 represents the alternative hypothesis that the proportion of students graduating in four years is not equal to 0.62 in the population.
This is the appropriate hypothesis test as we want to determine if there is a significant difference between the observed proportion of 0.62 and the true population proportion.