what is the critical value of this statistic at 0.05 significance.....z=1.64

To find the critical value of a statistic, such as the z-value, at a specific significance level, you can use a standard normal distribution table or a statistical calculator.

In this case, you have a z-value of 1.64 and a significance level of 0.05.

1. Using a standard normal distribution table:
- Look up the critical value associated with the significance level of 0.05 (also known as the alpha level).
- Find the closest value in the table to 1.64 (the z-value).
- The corresponding critical value should be shown in the table.

2. Using a statistical calculator:
- Input the z-value of 1.64 into the calculator.
- Enter the significance level of 0.05.
- The calculator will provide you with the critical value.

By using either of these methods, you can determine the critical value for a z-value of 1.64 at a 0.05 significance level.