10. Scenario: Baruch Graduates-Part 3: Which of the following is most accurate?
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Question
10. Scenario: Baruch Graduates-Part 3: Which of the following is most accurate? a. T-statistic is estimated to be 0.4541 C T-statistic is estimated to be 6.038 b. T-statistic is estimated to be 2.202 d. T-statistic is estimated to be 16.08 11. Scenario: Baruch Graduates-Part3: Which of the following is most accurate? You reject the null hypothesis at the 5% a. You accept the null hypothesis at the 1% significance level. d. b. You accept the null hypothesis at the 5% significance level. Not enough information provided to determine whether you should accept or reject the null hypothesis.Explanation / Answer
Probability of getiing null hypothesis is less than 5%, so it is very rare for null hypothesis to happen.
Hence option C is correct. We can reject the null hypothesis at the 5% significance level.
you might get a p-value such as 0.03 (i.e., p = .03). This means that there is a 3% chance of finding a difference as large as (or larger than) the one in your study given that the null hypothesis is true. However, you want to know whether this is "statistically significant". Typically, if there was a 5% or less chance (5 times in 100 or less) that the difference in the mean exam performance between the two teaching methods (or whatever statistic you are using) is as different as observed given the null hypothesis is true, you would reject the null hypothesis and accept the alternative hypothesis. Alternately, if the chance was greater than 5% (5 times in 100 or more), you would fail to reject the null hypothesis and would not accept the alternative hypothesis. As such, in this example where p = .03, we would reject the null hypothesis and accept the alternative hypothesis. We reject it because at a significance level of 0.03 (i.e., less than a 5% chance), the result we obtained could happen too frequently for us to be confident that it was the two teaching methods that had an effect on exam performance.
Whilst there is relatively little justification why a significance level of 0.05 is used rather than 0.01 or 0.10, for example, it is widely used in academic research. However, if you want to be particularly confident in your results, you can set a more stringent level of 0.01 (a 1% chance or less; 1 in 100 chance or less).
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