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Type I and Type II Errors - statistics

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What is a type I and type II errors in hypothesis testing? What would be examples of each? Explain

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In hypothesis testing, a Type-I error is the incorrect rejection of a true null hypothesis. A Type-II error is the failure to reject a false null hypothesis.
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The solution comprises of a detailed discussion on Type I and Type II errors in hypothesis testing.

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Statistics, Research and Evaluation

1. Determine what would happen to your critical value (Z) if you were to change the level of significance (a) from .05 to .1 in a two tailed hypothesis test.

2. Why would the critical value change in the way you predict?

3. What does this suggest about the trade offs between Type 1 and Type II errors?

Please give some examples so I understand the concepts. Thank you.

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