You suspect that an unscrupulous employee at a casino has tampered with a die; that...

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Finance

You suspect that an unscrupulous employee at a casino has tampered with a die; that is, he is using a loaded die. In order to test this claim, you roll the die 300 times and obtain the following frequencies: (You may find it useful to reference the appropriate table: chi-square table or F table)

Category 1 2 3 4 5 6
Frequency 58 52 54 48 56 32

Click here for the Excel Data File

a. Choose the appropriate alternative hypothesis to test if the population proportions differ.

multiple choice 1

  • All population proportions differ from 1/6.

  • Not all population proportions are equal to 1/6.

b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

c. Find the p-value.

multiple choice 2

  • p-value

    0.10
  • 0.05

    p-value < 0.10
  • 0.025

    p-value < 0.05
  • 0.01

    p-value < 0.025
  • p-value < 0.01

d. At the 1% significance level, can you conclude that the die is loaded?

multiple choice 3

  • Yes

    since the p-value is less than significance level.
  • Yes

    since the p-value is more than significance level.
  • No

    since the p-value is less than significance level.
  • No

    since the p-value is more than significance level.

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