If m is a parameter and H(m =7) is the null hypothesis, then the one sided left alternative hypothesis is

1. ### Understanding the Hypotheses

In hypothesis testing, we typically define two types of hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis represents a statement of no effect or no difference, while the alternative hypothesis represents what we want to prove or investigate.

2. ### Null Hypothesis Specification

Given that the null hypothesis is specified as $H(m = 7)$, we are testing whether the parameter $m$ equals 7.

3. ### Formulating the One-Sided Left Alternative Hypothesis

The one-sided left alternative hypothesis is used when we are interested in determining if a parameter is less than a certain value. In this case, since we want to determine if $m$ is less than 7, we can express the left-sided alternative hypothesis as:

$H_1: m < 7$

4. ### Summary of Findings

To summarize, the one-sided left alternative hypothesis corresponding to the null hypothesis $H(m = 7)$ is $H_1: m < 7$. This alternative hypothesis can be tested using statistical methods, and if the evidence suggests that $m$ is indeed less than 7, we will reject the null hypothesis in favor of this alternative.

Final Answer

The one-sided left alternative hypothesis is $H_1: m < 7$.