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The director of a technical school was curious about whether there is a relationship between students who complete one of the school's most popular Health Sciences certificate programs and whether their students go on to complete more advanced studies in the Health Sciences within two years of completing the certificate program. She randomly selected 100 students who completed the program. Data collected on these students are shown in the table below. Which of the following statements is true for these 100 students?

1) The majority of students who completed the certificate program went on to complete more advanced studies in the Health Sciences within two years.
2) Only a small percentage of students who completed the certificate program went on to complete more advanced studies in the Health Sciences within two years.
3) There is no relationship between completing the certificate program and completing more advanced studies in the Health Sciences within two years.
4) The data collected on these 100 students is not sufficient to determine whether there is a relationship between completing the certificate program and completing more advanced studies in the Health Sciences within two years.

User Gcq
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Final answer:

Without specific data on the students who completed the certificate program, we cannot determine the existence of a relationship between completing the certificate and advanced studies, nor can we affirm any of the proposed statements. A statistical test such as the chi-square test would be required if the data were provided.

Step-by-step explanation:

Based on the scenario provided, we do not have specific data on the 100 students who completed the technical school's Health Sciences certificate program, which would allow us to determine if these students went on to complete more advanced studies within two years. Without this actual data, we cannot confirm whether the majority, a small percentage, or none of the students pursued further studies, nor can we comment on the existence of a relationship between completing the certificate program and pursuing advanced studies.

To explore such a relationship, one would typically use statistical methods like a chi-square test for independence to analyze the data collected. A chi-square test could determine whether there is a statistically significant relationship between completion of the certificate program and enrollment in advanced studies. But since no data for these 100 students were provided, none of the given statements can be affirmed as true.

When conducting studies on educational outcomes, like the progression from a certificate to advanced degrees, it's crucial to have reliable data to draw meaningful conclusions. Further, understanding social and economic factors, as highlighted by the statistics on educational attainment across socio-economic classes, is essential in comprehensive educational research.

User Roalt
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