A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assu symmetric. Use the following data to test the hypothesis that the population median score for the students taking the 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. Ho: Median 510 Median 510 Ho: Median 2 510 H₂ Median < 510 Ho: Median < 510 H: Median 510 Ho: Median 510 H: Median 510 Ho: Median s 510 H: Median> 510 Find the value of the test statistic. T= 39 Find the p-value. (Round your answer to four decimal places.) p-value = 0.2340 X

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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
502
447
405 453 471 476
590 337 387
Ho: Median > 510
H: Median < 510
a
State the null and alternative hypotheses.
Ho: Median # 510
H: Median = 510
Ho: Median < 510
H₂: Median = 510
Ho: Median = 510
H₂: Median # 510
464
Ho: Median ≤ 510
Ha:
: Median > 510
Find the value of the test statistic.
T+ = 39
514
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.2340 X
Using a = 0.05, what is your conclusion?
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.
Reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510.
Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.
Transcribed Image Text: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. 635 701 439 447 502 447 405 453 471 476 590 337 387 Ho: Median > 510 H: Median < 510 a State the null and alternative hypotheses. Ho: Median # 510 H: Median = 510 Ho: Median < 510 H₂: Median = 510 Ho: Median = 510 H₂: Median # 510 464 Ho: Median ≤ 510 Ha: : Median > 510 Find the value of the test statistic. T+ = 39 514 Find the p-value. (Round your answer to four decimal places.) p-value = 0.2340 X Using a = 0.05, what is your conclusion? 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. Reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510. Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.
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