Questions: Suppose there is a claim that a certain population has a mean, μ, that is different than 8. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, H₀, and the alternative hypothesis, H₁, as follows. H₀: μ=8 H₁: μ ≠ 8 Suppose you also know the following information. The value of the test statistic based on the sample is 1.472 (rounded to 3 decimal places). The p-value is 0.141 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected.

Transcript text: 5:07PM Tue Oct 29 Done AA www-awy.aleks.com Introduction to performing a hypothesis test: p value method 15 Tequil Suppose there is a claim that a certain population has a mean, $\mu$, that is different than 8 . You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, $H_{0}$, and the alternative hypothesis, $H_{1}$, as follows. \[ \begin{array}{l} H_{0}: \mu=8 \\ H_{1}: \mu \neq 8 \end{array} \] Suppose you also know the following information. The value of the test statistic based on the sample is 1.472 (rounded to 3 decimal places). The $p$-value is 0.141 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the $p$-value. Step 4: Enter the $p$-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the $p$-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the $p$-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the $p$-value is greater than the level of significance, the null hypothesis is rejected. Since the $p$-value is greater than the level of significance, the null hypothesis is not rejected. Explanation Check Q2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center