Math Problem Statement

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Solution

The image you uploaded is written in Indonesian and seems to involve hypothesis testing related to a survey on students across different academic programs.

The main part of the problem involves a table of dataThe image you uploaded is written in Indonesian and seems to involve hypothesis testing related to a survey on students across different academic programs.

The main part of the problem involves a table of

Subjects:

  • The table shows the number of students who passed or failed the UAS (Ujian Akhir Semester) across different academic programs.

Here are the categories of students:

  1. Prodi S1 Akuntansi (Accounting undergraduate program)
  2. Prodi S1 Manajemen (Management undergraduate program)
  3. Prodi D3 Akuntansi (Accounting diploma program)
  4. Prodi D3 Perdagangan (Diploma in Commerce program)

Table Data:

  • There are columns for "Lulus" (Passed) and "Tidak Lulus" (Did Not Pass).
  • The values represent the number of students in each category who passed or failed.

Next, the text mentions the usage of a significance level (α) of 5% to conduct a hypothesis test. It asks for the determination of whether there is a significant difference in pass rates across these academic programs.

This suggests that the task is likely a Chi-Square Test for Independence or a similar statistical test to determine if the success rates (passing vs. failing) are dependent on the academic program.

Would you like me to solve this by applying the Chi-Square test, or do you prefer a different statistical approach? Please confirm.

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Chi-Square Test
Statistical Inference

Formulas

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Theorems

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Suitable Grade Level

Advanced High School / Undergraduate