Provide an Appropriate Response

question 1

Essay

Provide an appropriate response.
-A right-tailed hypothesis test for a population mean is to be performed. If the null hypothesis is rejected at the 5% level of significance, does this necessarily mean that it would be rejected at the 1% level of significance? at the 10% level of significance? Explain your reasoning. In your explanation, refer to the critical values corresponding to the different significance levels.

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Definitions:

p < .05

Indicates that the probability of the observed data occurring under the null hypothesis is less than 5%, suggesting statistical significance.

Null Hypothesis

The presumption of no association or effect between variables, a stance taken until evidence suggests otherwise.

Probability

A numeric expression, ranging from 0 to 1, indicating the probability of an event happening.

Statistic

A numeric measure that represents a particular feature of a sample.