You may need to use the appropriate appendix table or technology to answer this question. A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. 635 701 439 447 464 502 405 453 471 476 447 590 337 387 514 State the null and alternative hypotheses. OH: Median 510 H: Median - 510 OH: Median 2 510 H: Median < 510 OH: < 510 Median H: Median - 510 ⒸH: Median - 510 H: Median 510 O Ho: Medians 510 H: Median> 510 Find the value of the test statistic. Tº= Find the p-value. (Round your answer to four decimal places.) p-value= Using a = 0.05, what is your conclusion? O Reject Ho- There is sufficient evidence to conclude that the population median writing test score is not 510. ● Do not reject H₂. There is not sufficient evidence to conclude that the population median writing test score is not 510. O Reject H₂- There is not sufficient evidence to conclude that the population median writing test score is not 510. O Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.

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You may need to use the appropriate appendix table or technology to answer this question.
A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the
population median score for the students taking the writing portion of the test is 510.
635 701 439 447 464
502 405 453 471 476
447
590 337 387 514
State the null and alternative hypotheses.
O Ho: Median # 510
H₂: Median = 510
O Ho: Median 2 510
H₂: Median < 510
Ho: Median < 510
H₂: Median = 510
ⒸH: Median = 510
H₂: Median # 510
O Ho: Median ≤ 510
H₂: Median > 510
✓
Find the value of the test statistic.
T =
Find the p-value. (Round your answer to four decimal places.)
p-value =
Using a = 0.05, what is your conclusion?
O Reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.
Ⓒ Do not reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510.
O Reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510.
O Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. 635 701 439 447 464 502 405 453 471 476 447 590 337 387 514 State the null and alternative hypotheses. O Ho: Median # 510 H₂: Median = 510 O Ho: Median 2 510 H₂: Median < 510 Ho: Median < 510 H₂: Median = 510 ⒸH: Median = 510 H₂: Median # 510 O Ho: Median ≤ 510 H₂: Median > 510 ✓ Find the value of the test statistic. T = Find the p-value. (Round your answer to four decimal places.) p-value = Using a = 0.05, what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510. Ⓒ Do not reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510. O Reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510. O Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.
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