Identify the null and alternative hypothesesIdentify the test statisticIdentify the P-valueIdentify the conclusion about the null hypothesis ### Analysis of Proctored vs Nonproctored TestsIn the study conducted on proctored and nonproctored tests, the results are summarized in the table below. The assumption is that the two samples are independent simple random samples taken from normally distributed populations. It is also assumed that the population standard deviations (σ) are not equal. We will use a significance level of 0.05 to test the hypothesis that students taking nonproctored tests achieve a higher mean score compared to those taking proctored tests. #### Data Summary:| | Proctored | Nonproctored ||--------------------|--------------------|-------------------|| Population Mean (μ)| μ₁ | μ₂ || Sample Size (n) | 33 | 34 || Sample Mean | 78.69 | 86.78 || Sample Standard Deviation (s) | 11.24 | 20.49 |#### Null and Alternative Hypotheses:Select the appropriate null (H₀) and alternative (H₁) hypotheses from the options provided:1. \( H_0: \mu_1 = \mu_2 \)\( H_1: \mu_1 \neq \mu_2 \)2. \( H_0: \mu_1 \leq \mu_2 \)\( H_1: \mu_1 = \mu_2 \)3. \( H_0: \mu_1 = \mu_2 \)\( H_1: \mu_1 \leq \mu_2 \)4. \( H_0: \mu_1 = \mu_2 \) (highlighted selection)\( H_1: \mu_1 < \mu_2 \)5. \( H_0: \mu_1 = \mu_2 \)\( H_1: \mu_1 > \mu_2 \)From the information given and the selection made, the correct null and alternative hypotheses usually selected is:- Null Hypothesis \( H_0: \mu_1 = \mu_2 \)- Alternative Hypothesis \( H_1: \mu_2 > \μ_1 \)This test will help determine if there is a statistically significant difference in the mean test scores between students who took proctored versus

Name: Identify the null and alternative hypothesesIdentify the test statisti
Uploaded: 2024-03-20T07:07:00.000Z
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Description: Identify the null and alternative hypothesesIdentify the test statisticIdentify the P-valueIdentify the conclusion about the null hypothesis ### Analysis of Proctored vs Nonproctored TestsIn the study conducted on proctored and nonproctored tests, t