Activity 5.3: Problem of the Week (1 of 2): Vocabulary Check

Instructions

Answer the following questions in detail. You can use bullet points to describe a process or to differentiate items in each answer as necessary. Include the questions.

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What are the two types of hypotheses used in a hypothesis test? How are they related?

Describe the two types of errors possible in a hypothesis test decision.

What are the two decisions that you can make from performing a hypothesis test?

Does failing to reject the null hypothesis mean that the null hypothesis is true? Explain.

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Explain the difference between the z-test for mu using rejection region(s) and the z-test for mu using a P-value.

In hypothesis testing, does using the critical value method or the P-value method affect your conclusion? Explain.

Explain how to find critical values for a t-distribution.

Explain how to use a t-test to test a hypothesized mean mu when sigma is unknown. What assumptions are necessary?

What is a multinomial experiment?

What conditions are necessary to use the chi-square goodness-of-fit test?

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