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Advocard [28]
2 years ago
12

An independent-measures research study uses two samples, each with n = 12 participants.If the data produce a t statistic of t =

2.08, then which of the following is the correct decision for a two-tailed hypothesis test?​
a. ​Reject the null hypothesis with either α = .05 or α = .01
b. ​It cannot be answered without additional information.
c. Reject the null hypothesis with α = .05 but fail to reject with α = .01
d. ​Fail to reject the null hypothesis with either α = .05 or α = .01
Mathematics
1 answer:
lana [24]2 years ago
7 0

Answer:

B- It cannot be answered without additional information.

Step-by-step explanation:

From the question, we have α= 0.01 and α= 0.05.

Thus;

We can decide to look at the critical values and check if test statistic is less or more than the tabulated value for α= 0.01 and 0.05.

However, that will not be sufficient as neither the level of significance nor confidence level is clearly mentioned in the question and thus, we can not answer it without additional information.

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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.  

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Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach P=21.4=>0.214

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Sample size n=12

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