A Die Is Rolled 180 Times and the Following Data $x ^ { 2 }$

question 30

Multiple Choice

A die is rolled 180 times and the following data are obtained. Number Frequency
1 31
2 34
3 26
4 16
5 32
6 41
A chi-square test was conducted to determine whether or not the die is loaded (i.e.,that the six numbers are not equally likely) .Use a 5% level of significance. $x ^ { 2 }$ = 11.8; P-value = 0.03763

• A)Reject the null hypothesis.The data provide sufficient evidence to conclude that the die is loaded.
• B)Reject the null hypothesis.The data provide sufficient evidence to conclude that the die is fair.
• C)Do not reject the null hypothesis.The data provide sufficient evidence to conclude that the die is loaded.
• D)Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.
• E)Reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.

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Definitions:

Incremental Revenue

The additional revenue generated from a new business activity or decision.

Incremental Processing Costs

Additional costs incurred when increasing the production volume or when processing further beyond the split-off point.

Sell or Process Further

A decision-making process in cost accounting where a company must determine whether to sell a product as is or continue processing to add value.

Annual Rate of Return

The percentage return on an investment over a one-year period, encompassing both capital gains and interest payments.