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Practice Test 1.3 Chi Square Test for Goodness of Fit

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A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. You suspect that the machine is rigged! In a test, you counted 1600 cards, and observed the following:

Spades = 404, Hearts = 420, Diamonds = 400, Clubs = 376

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Pitanje 1
1.

Which of the following is the null hypothesis for this experiment?

Pitanje 2
2.

Which of the following is the null hypothesis for this experiment? (again)

Pitanje 3
3.

How many degrees of freedom are there?

Pitanje 4
4.

What is the level of significance (α) that we will always use in this class?

Pitanje 5
5.

What is the critical value?

Pitanje 6
6.

What is the decision rule?

Pitanje 7
7.

Calculate χ2. Use 2 decimal places.

Pitanje 8
8.

Based on the chi square value, which of the following is the corresponding p-value?

Pitanje 9
9.

Which of the following is the best conclusion?

Pitanje 10
10.

Which of the following is an accurate statement. Insert your calculated value for "<p-value>".