Question
In: Statistics and Probability
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† 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 489 five-syllable sequences from this manuscript showed that 130 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p < 0.214; H1: p = 0.214H0: p > 0.214; H1: p = 0.214 H0: p = 0.214; H1: p > 0.214H0: p = 0.214; H1: p ≠ 0.214H0: p = 0.214; H1: p < 0.214
(b) What sampling distribution will you use?
The Student's t, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 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
answer to four decimal places.)
Solutions
orchestra answered 3 years agoRelated Solutions
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found...
Symposium is part of a larger work referred to as
Plato's Dialogues. Wishart and Leach† 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 485 five-syllable sequences from this manuscript showed that 129
were of the type four short and one long. Do...
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found...
Symposium is part of a larger work referred to as Plato's
Dialogues. Wishart and Leach† 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 489 five-syllable sequences from this
manuscript showed that 129 were of the type four short and one
long. Do...
(1) Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach†...
(1) Symposium is part of a larger work
referred to as Plato's Dialogues. Wishart and Leach† 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 488 five-syllable sequences from this manuscript showed that 128
were of the type four short and one long....
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