A null and alternative hypothesis is given. Determine...

A null and alternative hypothesis is given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested?
$$\begin{aligned}&H_{0}: p=0.76\\&H_{1}: p>0.76\end{aligned}$$

Key Concepts

Null Hypothesis

The null hypothesis is a statement that usually reflects the status quo or a condition of no effect, specifying a particular value for the population parameter. In hypothesis testing, it serves as the default assumption that any observed effect is due to random chance unless strong evidence suggests otherwise.

Alternative Hypothesis

The alternative hypothesis is the claim that contradicts the null hypothesis. It represents what the researcher aims to support and usually involves the parameter being greater than, less than, or not equal to a specified value. The direction indicated in the alternative hypothesis helps determine the type of test.

One-Tailed vs Two-Tailed Tests

Tail type in hypothesis testing refers to whether the test is looking for an effect in one direction (one-tailed) or both directions (two-tailed). A one-tailed test is employed when the alternative hypothesis specifies a direction (for example, greater than or less than a certain value), while a two-tailed test is used when the alternative simply states that there is a difference without specifying a direction.

Population Proportion

The population proportion is a parameter that represents the fraction of the population possessing a certain characteristic. In the context of hypothesis testing, when the parameter 'p' is tested, it refers to the proportion within the population, and the hypotheses indicate the expected value of this proportion under the null assumption.

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