Answer:
volume of a cone = 1/3*(πr²h)
Step-by-step explanation:
Complete Question
ymposium 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 498 five-syllable sequences from this manuscript showed that 129 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 = 0.01.
a. What is the value of the sample test statistic? (Round your answer to two decimal places.)
b. Find the P-value of the test statistic. (Round your answer to four decimal places.)
Answer:
a) ![Z=2.45](https://tex.z-dn.net/?f=Z%3D2.45)
b) ![P Value=0.0073](https://tex.z-dn.net/?f=P%20Value%3D0.0073)
Step-by-step explanation:
From the question we are told that:
Probability of Wishart and Leach ![P=21.4=>0.214](https://tex.z-dn.net/?f=P%3D21.4%3D%3E0.214)
Population Size ![N=498](https://tex.z-dn.net/?f=N%3D498)
Sample size ![n=12](https://tex.z-dn.net/?f=n%3D12)
Therefore
![P'=\frac{129}{498}](https://tex.z-dn.net/?f=P%27%3D%5Cfrac%7B129%7D%7B498%7D)
![P'=0.2590](https://tex.z-dn.net/?f=P%27%3D0.2590)
Generally the Null and Alternative Hypothesis is mathematically given by
![H_0:P=0.214](https://tex.z-dn.net/?f=H_0%3AP%3D0.214)
![H_a:=P>0.214](https://tex.z-dn.net/?f=H_a%3A%3DP%3E0.214)
Test Statistics
![Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BP%27-P%7D%7B%5Csqrt%7B%5Cfrac%7BP%281-P%29%7D%7Bn%7D%7D%7D)
![Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B0.2590-0.214%7D%7B%5Csqrt%7B%5Cfrac%7B0.214%281-0.214%29%7D%7B498%7D%7D%7D)
![Z=2.45](https://tex.z-dn.net/?f=Z%3D2.45)
Therefore P Value is given as
![P Value =P(Z\geq 2.45)](https://tex.z-dn.net/?f=P%20Value%20%3DP%28Z%5Cgeq%202.45%29)
![P Value =1-P(Z\leq 2.45)](https://tex.z-dn.net/?f=P%20Value%20%3D1-P%28Z%5Cleq%202.45%29)
![P Value =1-0.99268525](https://tex.z-dn.net/?f=P%20Value%20%3D1-0.99268525)
![P Value=0.0073](https://tex.z-dn.net/?f=P%20Value%3D0.0073)
Answer:
0.45
Step-by-step explanation:
Answer:
THE CORRECT OPTION IS A) Δ ABC
Δ BDC
Δ ADB
Step-by-step explanation:
The first option is in correct order of triangle ,we can easily the their sides are proportionate . And having eqal angles.
I think the answer to m is 8