Question

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

Name: Problem 12, Chapter 10: Statistics Informed Decisions Using Data
Uploaded: 2021-03-16T21:21:47-08:00
Duration: 1 min 18 s
Channel: Harsh Gadhiya
Description: The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H0: p=0.76 H1: p>0.76

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

Statistics Informed Decisions Using Data

Michael Sullivan III 4th Edition

Chapter 10, Problem 12

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Solved by Expert Harsh Gadhiya

03/16/2021

Step 1

The null hypothesis, denoted as $H_{0}$, is the hypothesis that there is no significant difference from the proposed value. In this case, $H_{0}: p=0.76$. The alternative hypothesis, denoted as $H_{1}$, is the hypothesis that contradicts the null hypothesis. Here, Show more…

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

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Key Concepts

Parameter in Proportion Tests

Proportion tests are used to evaluate the fraction of a population that exhibits a particular characteristic. In this context, the parameter being tested is the population proportion (p), which represents the likelihood or proportion of occurrences of the characteristic in the population.

Tail Direction in Hypothesis Testing

In hypothesis testing, the direction of the test is determined by the inequality in the alternative hypothesis. A right-tailed test is used when the alternative hypothesis specifies that the parameter is greater than a certain value. This focuses on detecting if the parameter exceeds the specified benchmark.

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