[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 “
[IMG: Picture][LINK: http://lectures.mhhe.com/connect/0073361615/Ch12/Static/Ch12_Q05_Data_File.xls] Click here for the Excel Data File
- 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]
[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
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