A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 35, 26, 37, 38, 23, and 36. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? O O C. Ho All frequencies are equal to 5. H, All frequencies are less than 5 O D. Ho All frequencies are less than 5. H. All frequencies are equal to 5, Compute the value of the test statistic, y (Round to two decimal places as needed.) Identify the critical value The critical value is (Round to two decimal places as needed.) Does it appear that the loaded die behaves differently than a regular die? O A. No, because there is sufficient evidence to reject the null hypothesis. O B. Yes, because there is sufficient evidence to reject the null hypothesis O C. No, because there is not sufficient evidence to reject the null hypothesis O D. Yes, because there is not sufficient evidence to reject the null hypothesis.

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A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 35, 26, 37, 38, 23, and 36. Use a 0.05
significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
O Č. Ho All frequencies are equal to 5.
Ha All frequencies are less than 5.
O D. Ho All frequencies are less than 5.
H, All frequencies are equal to 5.
Compute the value of the test statistic, x.
(Round to two decimal places as needed.)
Identify the critical value.
The critical value is
(Round to two decimal places as needed.)
Does it appear that the loaded die behaves differently than a regular die?
O A. No, because there is sufficient evidence to reject the null hypothesis.
O B. Yes, because there is sufficient evidence to reject the null hypothesis.
O C. No, because there is not sufficient evidence to reject the null hypothesis.
O D. Yes, because there is not sufficient evidence to reject the null hypothesis.
Transcribed Image Text:A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 35, 26, 37, 38, 23, and 36. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? O Č. Ho All frequencies are equal to 5. Ha All frequencies are less than 5. O D. Ho All frequencies are less than 5. H, All frequencies are equal to 5. Compute the value of the test statistic, x. (Round to two decimal places as needed.) Identify the critical value. The critical value is (Round to two decimal places as needed.) Does it appear that the loaded die behaves differently than a regular die? O A. No, because there is sufficient evidence to reject the null hypothesis. O B. Yes, because there is sufficient evidence to reject the null hypothesis. O C. No, because there is not sufficient evidence to reject the null hypothesis. O D. Yes, because there is not sufficient evidence to reject the null hypothesis.
A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 35, 26, 37, 38, 23, and 36. Use a 0.05
significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? O
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. H,: All outcomes are equally likely.
H: At least one of the probabilities is different from the others.
O B. Ho: At least one of the probabilities is different from the others.
H: All outcomes are equally likely.
O C. Ho: All frequencies are equal to 5.
Ha: All frequencies are less than 5.
O D. Ho All frequencies are less than 5.
Ha: All frequencies are equal to 5.
Compute the value of the test statistic, y.
(Round to two decimal places as needed.)
Identify the critical value.
The critical value is
(Round to two decimal places as needed.)
Transcribed Image Text:A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 35, 26, 37, 38, 23, and 36. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? O Determine the null and alternative hypotheses. Choose the correct answer below. O A. H,: All outcomes are equally likely. H: At least one of the probabilities is different from the others. O B. Ho: At least one of the probabilities is different from the others. H: All outcomes are equally likely. O C. Ho: All frequencies are equal to 5. Ha: All frequencies are less than 5. O D. Ho All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, y. (Round to two decimal places as needed.) Identify the critical value. The critical value is (Round to two decimal places as needed.)
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