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StatisticsQ&A LibraryA test of H0: μ = 53 versus H1: μ ≠ 53 is performed using a significant level of α = 0.01. The P-value is 0.033. if the true value of μ is 53, does the conclusion result in type I error, a type ii error, or a correct decision?A). Type ii error B). correct decision C). Type i errorQuestion

Asked Nov 18, 2019

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A test of H_{0}: **μ =** 53 versus H_{1}: **μ ≠ 53** is performed using a significant level of **α = 0.01**. The P-value is 0.033. if the true value of **μ is **53, does the conclusion result in type I error, a type ii error, or a correct decision?

A). Type ii error B). correct decision C). Type i error

**Type I error ( α):**

The Type I error is committed, if the null hypothesis is rejected, when it might actually be true. The probability of Type I error, denoted by *α*, is the probability of rejecting the null hypothesis, given that it is true.

**Type II error ( β):**

The Type II error is committed, if the null hypothesis is not rejected, even when it is actually be false. The probability of Type II error, denoted by *β*, is the probability ...

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