The following statements are both correct. Click on one of the selections to proceed.

Question

BlackTom AI · Accepted Answer

The prompt states that the following statements are both correct and asks you to click on one selection to proceed.

First, note that the data provided includes an answer array with a single statement and the answer_options list is empty. This means there are no multiple-choice options to compare or evaluate against each other.

Option provided: 'The alternative hypothesis represents a population parameter is different from, greater than or smaller than the value stated in the null hypothesis.'

Analysis of this statement:
- In hypothesis testing, the alternative hypothesis (H1 or Ha) expresses that the population parameter differs from the value stated in the null hypothesis (H0). This difference can take the form of not equal to (two-tailed), greater than, or less than (one-tailed), depending on the test.
- The phrase 'different from' captures the general idea of a non-equality alternative (not equal to), which aligns with the core purpose of H1 in many testing scenarios. The addition of 'greater than or smaller than' explicitly acknowledges the possible directions of the difference, which is conceptually correct for specifying one- or two-tailed tests.
- Potential sources of confusion might include wording: stating both 'greater than' and 'smaller than' in the same clause can imply a two-tailed setup, but it accurately reflects that H1 can specify a direction or simply a difference depending on the test design.

Because there are no other answer choices provided to compare, you cannot distinguish among options in this item. The educational takeaway here is that the alternative hypothesis indeed represents a claim about the parameter differing from the null value, with the direction of the difference determined by the test construction (two-tailed vs. one-tailed).

In summary, the concept described in the single available option matches the standard definition of an alternative hypothesis as a statement about the parameter differing from the null value, with the understanding that directionality depends on the test.

ETX5900 - S1 2025 In-workshop quiz week 6

The following statements are both correct. Click on one of the selections to proceed.

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Similar Questions

Which one is true?

For an upper-tail hypotheses about a population mean with σ known and α=5%, which one is the rejection region?

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Exhibit 9-5 n = 16 H0: μ ≥ 80 = 75.607 Ha: μ < 80 σ = 8.6 Assume the population is normally distributed. Refer to Exhibit 9-5. The p-value is equal to _____.

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What conclusion for a test would correctly detect a difference between the actual parameter and the hypothesized value for the parameter? c08.p089.q0008

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ETX5900 - S1 2025 In-workshop quiz week 6

The following statements are both correct. Click on one of the selections to proceed.

View Explanation

Log in for full answers

Similar Questions

Which one is true?

For an upper-tail hypotheses about a population mean with σ known and α=5%, which one is the rejection region?

For a given sample, the P-value for upper tail test is x, and the P-value for two-tailed test is y, then

For a two-tailed hypothesis test with a test statistic value of z = 2.09, the p-value is _____.

For a sample size of 30, changing from using the t distribution to using the standard normal distribution in a hypothesis test _____.

Exhibit 9-5 n = 16 H0: μ ≥ 80 = 75.607 Ha: μ < 80 σ = 8.6 Assume the population is normally distributed. Refer to Exhibit 9-5. The p-value is equal to _____.

Exhibit 9-1 ​ ​ Refer to Exhibit 9-1. If the test is done at a .01 level of significance, the null hypothesis should _____.

What conclusion for a test would correctly detect a difference between the actual parameter and the hypothesized value for the parameter? c08.p089.q0008

More Practical Tools for Students Powered by AI Study Helper

Making Your Study Simpler

Exhibit 9-1 Refer to Exhibit 9-1. If the test is done at a .01 level of significance, the null hypothesis should _____.