Perform the Indicated Goodness-Of-Fit Test Using the P-Value Method

question 48

Essay

Perform the indicated goodness-of-fit test using the P-value method. Be sure to state the hypotheses and the significancelevel , to compute the value of the test statistic, to obtain the P-value, and to state your conclusion.
-A die is rolled 180 times and the following data are obtained. Do the data provide sufficient evidence to conclude that the die is loaded (i.e., that the six numbers are not equally likely)? Perform the hypothesis test at the 1% level of significance.

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Definitions:

Z Distribution

The Z distribution is a normal distribution that has been standardized so that it has a mean of 0 and a standard deviation of 1; it's also known as the standard normal distribution.

Probability

A quantification of the chance of an event taking place, assigned a value between 0, which denotes that the event is impossible, and 1, which denotes absolute certainty of the event happening.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely over a certain range.

Electronics Test

A process or methodology applied to identify the functionality, reliability, and performance of an electronic device or system.