# [FORM: http://ezto.mhecloud.mcgraw-hill.com/hm.tpx]You suspect

[FORM: http://ezto.mhecloud.mcgraw-hill.com/hm.tpx]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 200 times and obtain the following frequencies:

¦

1 2 3 4 5 6 40 35 33 30 33 29 “

• a.* Choose the null and alternative hypotheses in order to test your claim.

[INPUT] /H/[]: /p/[1] = /p/[2] = /p/[3] = /p/[4] = /p/[5] = /p/[6] = 1/6; /H[A]/: Not all population proportions are equal to 1/6. [INPUT] /H/[]: /p/[1] = /p/[2] = /p/[3] = /p/[4] = /p/[5] = /p/[6] = 1/6; /H[A]/: All population proportions are less than 1/6. [INPUT] /H/[]: /p/[1] = /p/[2] = /p/[3] = /p/[4] = /p/[5] = /p/[6] = 1/6; /H[A]/: All population proportions are greater than 1/6.

• b-1.* Calculate the value of the test statistic. *(Do not round the intermediate calculations.* *Round your answer to 2 decimal places.)*

Test statistic [INPUT]

• b-2.* Approximate the /p-/value/./¦

[INPUT] 0.010 < /p/-value < 0.025 [INPUT] /p/-value < 0.005 [INPUT] /p/-value > 0.10 [INPUT] 0.050 < /p/-value < 0.100 [INPUT] 0.025 < /p/-value < 0.50

• c-1.* Interpret the results at the 10% significance level.

[INPUT] Reject /H/[] [INPUT] Do not reject /H/[]

• c-2.* At the 10% significance level, can you conclude that the die is loaded?

[INPUT] Yes [INPUT] No