A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 264. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 40. At a= 0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H, Choose the correct answer below. O A. Hp: u= 260 (claim) O B. Ho u2 260 (claim) H u<260 O C. Ho: us260 H u> 260 (claim) H p> 260 OF. Ho: us260 (claim) O D. Ho: u<260 H u2 260 (claim) OE H p= 260 H p> 260 (claim) H p> 260 (b) Find the standardized test statistic z, and its corresponding area z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)

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A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 264. This test result prompts a state school administrator to declare that the mean score for the state's eighth
graders on this exam is more than 260. Assume that the population standard deviation is 40. At a= 0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify Ho and H, Choose the correct answer below.
O A. Ho µ= 260 (claim)
Ha- p> 260
O B. H, p2 260 (claim)
Ha p<260
O C. Ho: µS 260
H p>260 (claim)
O D. Ho: p< 260
H p2 260 (claim)
O E. Ho H=260
Ha p> 260 (claim)
O F. Ho us260 (claim)
Ha: p> 260
(b) Find the standardized test statistic z, and its corresponding area.
(Round to two decimal places as needed.)
(c) Find the P-value.
P-value = (Round to three decimal places as needed.)
%3D
Transcribed Image Text:A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 264. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 40. At a= 0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H, Choose the correct answer below. O A. Ho µ= 260 (claim) Ha- p> 260 O B. H, p2 260 (claim) Ha p<260 O C. Ho: µS 260 H p>260 (claim) O D. Ho: p< 260 H p2 260 (claim) O E. Ho H=260 Ha p> 260 (claim) O F. Ho us260 (claim) Ha: p> 260 (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) %3D
(d) Decide whether to reject or fail to reject the null hypothesis.
O Reject Ho
O Fail to reject Ho
(e) Interpret your decision in the cortext of the original claim.
At the 2% significance level, there
V enough evidence to
V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.
Transcribed Image Text:(d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho O Fail to reject Ho (e) Interpret your decision in the cortext of the original claim. At the 2% significance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.
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