A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on th exam is more than 270. Assume that the population standard deviation is 38. At a =0.07, 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: = 270 O B. Ho: u2270 (claim) OC. Ho: us270 H:u> 270 (claim) H: p> 270 (claim) H:u<270 O D. Ho: u<270 O E. Ho: us270 (claim) H: u> 270 OF. Ho: u=270 (claim) H:u> 270 Ha: p2270 (claim) (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.) (d) Decide whether reject or fail to reject the null hypothesis O Reject Ho O Fail to reject Ho (e) Interpret your decision in the context of the original claim. At the 7% 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 270.
A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on th exam is more than 270. Assume that the population standard deviation is 38. At a =0.07, 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: = 270 O B. Ho: u2270 (claim) OC. Ho: us270 H:u> 270 (claim) H: p> 270 (claim) H:u<270 O D. Ho: u<270 O E. Ho: us270 (claim) H: u> 270 OF. Ho: u=270 (claim) H:u> 270 Ha: p2270 (claim) (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.) (d) Decide whether reject or fail to reject the null hypothesis O Reject Ho O Fail to reject Ho (e) Interpret your decision in the context of the original claim. At the 7% 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 270.
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![A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. 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 270. Assume that the population standard deviation is 38. At a =0.07, 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.
ΟΑ Hρ μ= 270
O B. Ho: µ2270 (claim)
OC. Ho: us270
H: u> 270 (claim)
H:u<270
H: u> 270 (claim)
O D. Ho: μ< 270
O E. Ho: us270 (claim)
OF. Ho: u=270 (claim)
H:u> 270
Ha: p2270 (claim)
H: u>270
(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.)
(d) Decide whether
reject or fail to reject the null hypothesis
O Reject Ho
O Fail to reject Ho
(e) Interpret your decision in the context of the original claim
At the 7% 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 270.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff3197f5-7ab7-456c-9592-d1ee02a0b73e%2F7b2ae980-a7e7-45f5-86a9-10d3f2c314a9%2Fqjqi39u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. 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 270. Assume that the population standard deviation is 38. At a =0.07, 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.
ΟΑ Hρ μ= 270
O B. Ho: µ2270 (claim)
OC. Ho: us270
H: u> 270 (claim)
H:u<270
H: u> 270 (claim)
O D. Ho: μ< 270
O E. Ho: us270 (claim)
OF. Ho: u=270 (claim)
H:u> 270
Ha: p2270 (claim)
H: u>270
(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.)
(d) Decide whether
reject or fail to reject the null hypothesis
O Reject Ho
O Fail to reject Ho
(e) Interpret your decision in the context of the original claim
At the 7% 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 270.
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