WEEK 2 D1 BST 322 SEPT 2023

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National University *

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BST322

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Statistics

Date

Feb 20, 2024

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docx

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2

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WEEK 2 DISUSSION 1. DAVE BISARRA BST 322 SEPTEMBER 2023 Download the following Excel file, which contains data that was collected from 1,000 women in the area around downtown Philadelphia. Run a one sample t test on the women's state of optimism given that the National norm on this test for all women is 45.1. One sample T hypothesis test: μ : Mean of variable H 0   : μ = 45.1 H A   : μ ≠ 45.1 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value Optimism Score 44.5340.33089021999-1.7105371 0.0875 One sample T confidence interval: μ : Mean of variable 95% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit Optimism Score 44.5340.3308902199943.8846845.18332
State the null and alternative hypothesis. The null hypothesis (H0: = 45.1) asserts that the average level of optimism among the 1,000 women living in downtown Philadelphia's economically underprivileged urban region will be the same as the national average. Contrarily, the alternative hypothesis (HA: 45.1) predicts that the optimism levels of the women in downtown Philadelphia will differ from the national average. What is the value of t for the analysis? -1.7105371 Is this value significant and at what level? Why? Because the determined t-statistic of 1.7105371 is less than the crucial value, which is set at 1.96, it appears to be statistically unimportant in my opinion. What are the CI values and what do they mean here? The confidence interval outcomes indicate a 95% level of confidence, signifying that we have a 95% level of assurance that the mean falls within the lower limit (L. Limit) of 43.88468 and the upper limit (U. Limit) of 45.18332.
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