Question 1: With the appropriate hypotheses, when completing a one-sample t test, at α = 0.05, the estimated power is 0.547 . You would minimally need a sample size of 43 to achieve the desired acceptable power, when keeping all other conditions the same.

Question

Question 1:  With the appropriate hypotheses, when completing a one-sample t test, at α = 0.05, the estimated power is 0.547 . You would minimally need a sample size of 43 to achieve the desired acceptable power, when keeping all other conditions the same.

BlackTom AI · Accepted Answer

Let’s unpack what the statement is presenting and then evaluate each piece.
Option 1: '0.547' as the estimated power at α = 0.05 for the one-sample t test under the given hypotheses.
- Power is the probability of correctly rejecting the null hypothesis when the alternative is true. An estimated power of 0.547 means there is about a 54.7% chance of detecting the effect under the specified conditions. This is a plausible figure for a study with a modest effect size and sample size, and it aligns with the reported scenario that the power is below conventional targets like 0.80. Since the question states that this is the estimated power under the given hypotheses, this value is consistent with the setup and is therefore correct as the reported power.

Option 2: '43' as the minimal sample size needed to achieve the desired acceptable power while keeping all other conditions the same.
- Sample size directly influences power: increasing n increases the test’s ability to detect an effect. If the current power is 0.547 and the problem states that a sample size of 43 is the minimum required to reach the acceptable (target) power, then 43 would be the threshold at which power meets or exceeds the target. This reflects a common planning step in power analysis: identify the n needed to reach the pre-specified power level (e.g., 0.80). Assuming the problem’s wording uses 'minimal' appropriately and all other factors (variance, effect size, alpha) are held constant, selecting n = 43 as the minimum to reach the target power is logically consistent.

Why these interpretations make sense together:
- The current estimated power (0.547) is a function of the present sample size and the assumed effect size under the alternative. The statement about needing n = 43 to achieve the target power implies that at n = 43, the power would meet or exceed that target, whereas smaller n would yield power below the target. This creates a coherent narrative: modest power at the current n, and a specific, larger n needed to reach acceptable power levels.

In summary, both options reflect typical components of a power analysis for a one-sample t test under predefined hypotheses and α = 0.05: the power estimate given for the current design and the sample size requirement to reach the desired power target. If either statement were false, it would imply a mismatch between the reported power and the sample size needed to attain the target, which would contradict the problem’s setup.

Question 1: With the appropriate hypotheses, when completing a one-sample t test, at α = 0.05, the estimated power is 0.547 . You would minimally need a sample size of 43 to achieve the desired acceptable power, when keeping all other conditions the same.多重下拉选择题

类似问题

Question 1: With the appropriate hypotheses, when completing a one-sample t test, at 𝛼 = 0.05, the estimated power is 0.547 . You would minimally need a sample size of 43 to achieve the desired acceptable power, when keeping all other conditions the same.

The practical use of statistical power is that it informs you the researcher:

An increase in which of the following does not increase power?

For the compound below:a. Give the IUPAC name (no stereochemical designation required. [1 mark]b. Draw the two possible chair conformers of the compound and use equilibrium arrows to show which form will predominate. Explain your selection. [4 marks][Fill in the blank]

If a sample in a UV spectrometer transmits 20% of the incident radiation, the absorbance is:[Fill in the blank]

What would be the expected product from the following reaction?[Fill in the blank]

Alcohols can:[Fill in the blank]

Which of the following is both a weak base and a strong nucleophile?[Fill in the blank]

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单