Use Mathematical Induction to Prove That the Statement Is True $0.12 ^ { n } < 1$

question 56

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $0.12 ^ { n } < 1$

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Definitions:

Type II Error

The statistical mistake of failing to reject a null hypothesis when it is actually false.

Null Hypothesis

A statistical hypothesis that proposes there is no significant difference or effect within the specified population.

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, asserting there is a significant difference or effect.

Type I Error

The mistaken dismissal of a correct null hypothesis, often referred to as a "false positive."