Activity 6

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2037

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Economics

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Feb 20, 2024

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Activity 6 (a) The property demonstrated here is likely sampling variability. (b) Given the observed shooting percentages of 30% hits and 70% misses, it suggests a deviation from the 80% expected under the null hypothesis. In this case, there may be evidence to reject the null hypothesis that each player makes 80% of their free throws. (c) The sample proportion is the proportion of successful free throws in the sample. In this case, with hits representing successful free throws at a percentage of 30%, the sample proportion would be 0.30 or 30%. (d) The population proportion, based on the observed data and the line on 40 from the "Show true probability" feature, is estimated to be around 40%. Activity 5 Record your answers to the questions below: What is the power? What is the probability of a Type I error? The Power is 61% and the probability of Type I error is 10% Reduce the significance level to alpha = 0.05. What is the power? What is the probability of a Type I error? The Power is 49% and the probability of a Type I error is 5% Return the significance level to alpha = 0.10 and increase the sample size to n =25. What is the power? The Power is 80% Return the sample size to n = 15 and increase the effect size to 1. What is the power? The power is 99% What can you conclude about: a) The relationship between the probability of Type I error and the significance level? Type I error decreases as significance level decreases. b) The relationship between significance level and power? Power decreases as significance level decreases.

c) The relationship between sample size and power? Power increases with larger sample sizes. d) The relationship between effect size and power? Power increases with larger effect sizes.

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