Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and I eacht found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues, A random sample of 482 five-syllable sequences from this manuscript showed that 127 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllahle sequence is higher than that found in Plato's Symposium? Use a 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.214; H,: p< 0.214 O H: p = 0.214; H,: p> 0.214 O Ho: p< 0.214; H:p = 0.214 O Ho: p - 0.214; H: p# 0.214 OHo: p > 0.214; H p = 0.214 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The Student's t, since np > 5 and ng > 5. O The Student's t, sincc np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal placcs.) (c) Find the P-value of the test statistic. (Round your atiswer to four decimal places.) Sketch the sampling distribution and show the area coresponding to the P-value.
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and I eacht found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues, A random sample of 482 five-syllable sequences from this manuscript showed that 127 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllahle sequence is higher than that found in Plato's Symposium? Use a 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.214; H,: p< 0.214 O H: p = 0.214; H,: p> 0.214 O Ho: p< 0.214; H:p = 0.214 O Ho: p - 0.214; H: p# 0.214 OHo: p > 0.214; H p = 0.214 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The Student's t, since np > 5 and ng > 5. O The Student's t, sincc np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal placcs.) (c) Find the P-value of the test statistic. (Round your atiswer to four decimal places.) Sketch the sampling distribution and show the area coresponding to the P-value.
MATLAB: An Introduction with Applications
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(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Arc the data statistically significant at level a?
O At the a
0.01 level, we reject the null hypethesis and conclude the data arc statistically significant.
O At the a - 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data arc statistically signlflcant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the dala are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O There is sufflcient evidence at the 0.01 level to conclude that the true proportian of the five syllable sequence is higher than that in Plato's Symposium.
O There is insufficient evidence at the 0.01 level to conclude thal the truc proportion of the five-syllable sequence is higher than that in Plalo's Syrmposium.
75°F Mostly sunny
10.58 AM
O Type here to search
7/30/2021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F003cc70c-1b75-4753-a416-fe02387aef72%2F858ef2f5-5ace-42a6-a2ee-ac13ce2f5f6b%2Fggszwc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:.webassigh.hevweb/studentAssighment-Responses/last?dep=26829208
由
ube e Mastering Biology .
-2
0.
-2
D0-4
Q0-4
O-4
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(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Arc the data statistically significant at level a?
O At the a
0.01 level, we reject the null hypethesis and conclude the data arc statistically significant.
O At the a - 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data arc statistically signlflcant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the dala are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O There is sufflcient evidence at the 0.01 level to conclude that the true proportian of the five syllable sequence is higher than that in Plato's Symposium.
O There is insufficient evidence at the 0.01 level to conclude thal the truc proportion of the five-syllable sequence is higher than that in Plalo's Syrmposium.
75°F Mostly sunny
10.58 AM
O Type here to search
7/30/2021
![Tube
O Mastering Biology I..
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leacht found that about 21.4% of flve-syllable sequences in Symposium are of the type in which four are short and one is long.
Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 482 five-syllable sequences from this manuscript showed that 127 were of
the type four short and one long. Do the data indicate that the population proportion of this type of five-syllahle sequence is higher than that found in Plato's Symposium? Use a = 0.01.
A USE SALT
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: D = 0.214; H,: p < 0.214
O H: p = 0.214; H: p > 0.214
O H: p< 0.214; H: p = 0.214
O Ho: p = 0.214; H: p 0.214
O Ho:p > 0.214; H: p = 0.214
(b) What sampling distribution will you use?
O The standard normal, since np > 5 and ng > 5.
O The Student's t, since np > 5 and ng> 5.
O The Student's t, sincc np < 5 and ng < 5.
O The standard normal, since np < 5 and ng < 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your ariswer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
1058 AM
P Type here to search
O 75°r Mostly sunny
7/30/2021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F003cc70c-1b75-4753-a416-fe02387aef72%2F858ef2f5-5ace-42a6-a2ee-ac13ce2f5f6b%2Fkj86vdw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tube
O Mastering Biology I..
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leacht found that about 21.4% of flve-syllable sequences in Symposium are of the type in which four are short and one is long.
Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 482 five-syllable sequences from this manuscript showed that 127 were of
the type four short and one long. Do the data indicate that the population proportion of this type of five-syllahle sequence is higher than that found in Plato's Symposium? Use a = 0.01.
A USE SALT
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: D = 0.214; H,: p < 0.214
O H: p = 0.214; H: p > 0.214
O H: p< 0.214; H: p = 0.214
O Ho: p = 0.214; H: p 0.214
O Ho:p > 0.214; H: p = 0.214
(b) What sampling distribution will you use?
O The standard normal, since np > 5 and ng > 5.
O The Student's t, since np > 5 and ng> 5.
O The Student's t, sincc np < 5 and ng < 5.
O The standard normal, since np < 5 and ng < 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your ariswer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
1058 AM
P Type here to search
O 75°r Mostly sunny
7/30/2021
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