The plan is to reject the Null Hypothesis is the P-value is less than 0.05.  How many of the statisticians will commit a Type-I error?

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Types of Error: D

In a certain population, the mean mu is 42. There are one thousand statisticians, and none of them know what mu is. Each statistician takes a simple random sample from this population, and each one uses his/her sample to perform the following two-sided test:

H0: mu = 42

Ha: mu != 42

The plan is to reject the Null Hypothesis is the P-value is less than 0.05.  How many of the statisticians will commit a Type-I error?

Group of answer choices
 
(  ) About 100 of them, give or take some for chance error.
 
( ) About half of them.
 
( ) About 50 of them, give or take some for chance error.
 
(  ) All of them.
 
(  ) None of them.
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