A die is rolled 180 times and the following data are obtained.
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.
= 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.

Question

A die is rolled 180 times and the following data are obtained. 
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. 
= 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.

Quizplus · Accepted Answer

The chi-square test results in a test statistic of 11.8 and a p-value of 0.03763. Since the p-value is less than the level of significance of 5%, we reject the null hypothesis. Therefore, we can conclude that the die is loaded and that the six numbers are not equally likely. Choice letter A is the correct choice.

A Die Is Rolled 180 Times and the Following Data