What is the critical value for 0.04, left tailed test? I don't know what to put as the %?! I also don't understand what to look up in the E table for the value of Z?!
Thanks
What value is 0.04? What is table E? We do not have your text available.
If E gives areas under the normal distribution, the Z score is typically on the left side. If you are looking for P = .04 for a one-tailed test, use the column labeled something like "proportion in smaller area." If it is .04 or less, the result is significant.
To determine the critical value for a left-tailed test with a confidence level of 0.04, you need to look up the corresponding Z-score in the standard normal distribution table.
However, since you mentioned not understanding what to look up in the "E" table for the Z-value, I assume you might be referring to the E-table in a statistics textbook or reference manual.
In that case, the E-table is generally referred to as the standard normal distribution table or Z-table.
The Z-table provides the cumulative area under the standard normal curve for different Z-values. It allows you to find the proportion (or percentage) of the area to the left of a given Z-value.
To determine the critical value for a left-tailed test at a confidence level of 0.04, you need to find the Z-value that corresponds to a cumulative area of 0.04 to the left of that Z-value in the standard normal distribution table.
Here's how you can do it:
1. Identify the desired confidence level: In this case, the confidence level is 0.04.
2. Convert the confidence level to a cumulative area: For a left-tailed test, subtract the given confidence level from 1 to obtain the cumulative area. So, 1 - 0.04 = 0.96.
3. Locate the cumulative area in the Z-table: Look for the nearest cumulative area in the Z-table that matches the value you obtained in step 2. In this case, you need to find the Z-value that corresponds to a cumulative area of 0.96.
4. Read the corresponding Z-score: Once you locate the cumulative area in the Z-table, find the corresponding Z-score in the same row/column. This Z-score is your critical value.
Remember, the Z-table provides the cumulative area to the left of a particular Z-value. Therefore, for a left-tailed test, the critical value will be negative since it represents the leftmost tail of the distribution.
I hope this helps you understand how to find the critical value using the Z-table for a left-tailed test with a confidence level of 0.04. If you have any further questions, feel free to ask!