Question

A researcher conducts a power analysis for a study in which the ere vos noo aterese between control and experimen question it typoothesis is ture the the sudy uing a larfer sample Lower the level of siginitiance to 0,01 . In attempting to minimize typel enor, which of the followisg ispaleds on te Question 14 interpreted as the most highly satisticaly sigitcat resit?

a. p=0.10
b. p=0.0001
c. p=0.001
d. p=0.01
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Answer 1

The most highly statistically significant result among the options provided is b. p=0.0001.

Step-by-step explanation:

In statistical analysis, the p-value measures the strength of evidence against the null hypothesis. A smaller p-value indicates stronger evidence against the null hypothesis. Lowering the level of significance to 0.01 from conventional levels like 0.05 increases the stringency required for statistical significance.

Comparing the given p-values, p=0.0001 is the smallest among the options, signifying the strongest evidence against the null hypothesis. It suggests a very low probability of obtaining the observed results if the null hypothesis were true. When considering a lower significance level of 0.01, a p-value of 0.0001 meets the criteria for strong statistical significance.

In the context of hypothesis testing, a p-value of 0.0001 indicates that there is a 0.01% chance of observing the results or more extreme results if the null hypothesis were correct. This extremely low probability strongly supports rejecting the null hypothesis in favor of the alternative hypothesis. Therefore, among the provided choices, p=0.0001 is the most highly statistically significant result, aligning with the criteria for minimizing type I errors when working with a smaller sample and lower significance level.