A number generator outputs the sequence of digits shown below, where O represents an odd digit and E represents an even digit. Test the claim that the digits were not randomly generated. Use the runs test for x = .05 to complete parts (a) through (e). EO OEOEEO00E0EEEE OOEEEEOOEOEEEEOO Click on the icon to view the table of critical values for the number of runs G. Click here to view the positive standard normal (z) distribution table Click here to view the negative standard normal (z) distribution table a. Write the claim mathematically and identify Ho and H₁. Choose the correct answer below. O A. Ho: The numbers were random (claim), H₁: The numbers were not random OB. Ho: The numbers were not random (claim), H₁: The numbers were random OC. Ho: The numbers were random, H₁: The numbers were not random (claim) D. Ho: The numbers were not random, H₁: The numbers were random (claim) b. Determine the critical values. The larger critical value is (Round to two decimal places as needed.) The smaller critical value is (Round to two decimal places as needed.) c. Calculate the test statistic. (Round to three decimal places as needed.)

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A number generator outputs the sequence of digits shown below, where O represents an odd digit and E represents
an even digit. Test the claim that the digits were not randomly generated. Use the runs test for x = .05 to complete
parts (a) through (e).
EOOEOEEOOOEOEEEE
OOEEEEO OEOEEEEOO
Click on the icon to view the table of critical values for the number of runs G.
Click here to view the positive standard normal (z) distribution table
Click here to view the negative standard normal (z) distribution table
a. Write the claim mathematically and identify Ho and H₁. Choose the correct answer below.
O A. Ho: The numbers were random (claim), H₁: The numbers were not random
O B. Ho: The numbers were not random (claim), H₁: The numbers were random
OC. Ho: The numbers were random, H₁: The numbers were not random (claim)
O D. Ho: The numbers were not random, H₁: The numbers were random (claim)
b. Determine the critical values.
The larger critical value is
(Round to two decimal places as needed.)
The smaller critical value is
(Round to two decimal places as needed.)
c. Calculate the test statistic.
...
(Round to three decimal places as needed.)
d. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
O
Reject the null hypothesis.
O Fail to reject the null hypothesis.
e. Interpret the decision in the context of the original claim. Choose the correct answer below.
O A. At the 5% significance level, there is enough evidence to support the claim that the numbers were not
random.
O B. At the 5% significance level, there is not enough evidence to support the claim that the numbers were not
random.
O C. At the 5% significance level, there is enough evidence to reject the claim that the number were random.
O D. At the 5% significance level, there is not enough evidence to reject the claim that the numbers were random.
Transcribed Image Text:A number generator outputs the sequence of digits shown below, where O represents an odd digit and E represents an even digit. Test the claim that the digits were not randomly generated. Use the runs test for x = .05 to complete parts (a) through (e). EOOEOEEOOOEOEEEE OOEEEEO OEOEEEEOO Click on the icon to view the table of critical values for the number of runs G. Click here to view the positive standard normal (z) distribution table Click here to view the negative standard normal (z) distribution table a. Write the claim mathematically and identify Ho and H₁. Choose the correct answer below. O A. Ho: The numbers were random (claim), H₁: The numbers were not random O B. Ho: The numbers were not random (claim), H₁: The numbers were random OC. Ho: The numbers were random, H₁: The numbers were not random (claim) O D. Ho: The numbers were not random, H₁: The numbers were random (claim) b. Determine the critical values. The larger critical value is (Round to two decimal places as needed.) The smaller critical value is (Round to two decimal places as needed.) c. Calculate the test statistic. ... (Round to three decimal places as needed.) d. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Reject the null hypothesis. O Fail to reject the null hypothesis. e. Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 5% significance level, there is enough evidence to support the claim that the numbers were not random. O B. At the 5% significance level, there is not enough evidence to support the claim that the numbers were not random. O C. At the 5% significance level, there is enough evidence to reject the claim that the number were random. O D. At the 5% significance level, there is not enough evidence to reject the claim that the numbers were random.
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