Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record the outcomes.They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level.(a) The null and alternative hypotheses are:H0: The die has the uniform distribution.Ha: The die does not have the uniform distribution.(b) χ20=15.091.(c) χ20.05=11.070. (d) What conclusions can be made? Select all that apply. Select all that apply: We should reject H0. We should not reject H0. At the 5% significance level, there is sufficient evidence to conclude that the die is not fair. At the 5% significance level, there is not enough evidence to conclude that the die is not fair.

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Description: Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record the outcomes.They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level.(a) The null and alt

It is given that the test statistic is 15.091 and the critical value is 11.070.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record the outcomes.

They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level.

(a) The null and alternative hypotheses are:

H0: The die has the uniform distribution.
Ha: The die does not have the uniform distribution.

(b) χ20=15.091.

(c) χ20.05=11.070.

(d) What conclusions can be made? Select all that apply.

Select all that apply:

We should reject H0.
We should not reject H0.
At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.
At the 5% significance level, there is not enough evidence to conclude that the die is not fair.

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