MHB Left-Tailed Test Rejects Null Hypothesis at 0.05 Level

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In a left-tailed test, a test statistic of -2 and a shaded area of 0.03 indicate that the null hypothesis can be rejected at the 0.05 significance level. The shaded area represents the p-value, which is the probability of observing a test statistic as extreme as -2 or more extreme under the null hypothesis. In this context, the area of interest is to the left of the test statistic. Understanding the relationship between the shaded area and p-value is crucial for hypothesis testing. This discussion highlights the importance of interpreting shaded areas correctly in left-tailed tests.
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In a left-tailed test, the value of the test statistic is -2. If we know the shaded area is 0.03,
then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.
 
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JocquettaLARuex said:
In a left-tailed test, the value of the test statistic is -2. If we know the shaded area is 0.03,
then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.

Hi there,

How does the area of the shaded region relate to a p-value in hypothesis testing? In a left-tailed test is the area we look at the area to the left or the area to the right?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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