Hypothesis Testing Calculator

Guide to Using the Hypothesis Testing Calculator

Step 1: Select the Type of Hypothesis Test

Begin by selecting the type of hypothesis test you wish to perform. The options are available in the drop-down menu labeled Type of Hypothesis Test. Choose Z-Test (Known Population SD) if you have the population standard deviation, or select T-Test (Unknown Population SD) if you only have the sample standard deviation.

Step 2: Enter the Null Hypothesis Value

In the field labeled Null Hypothesis Value (μ₀), input the value of the population mean that you are testing against. This is a required field and represents the null hypothesis.

Step 3: Input the Sample Mean

Enter the sample mean value in the field labeled Sample Mean (x̄). This is a critical value for determining the test statistic and is a required field.

Step 4: Specify the Sample Size

Provide the sample size in the Sample Size (n) field. Ensure that the sample size is greater than zero, as this is a required field for the calculation.

Step 5: Provide Standard Deviation Values

• For Z-Test: Enter the population standard deviation in the field labeled Population Standard Deviation (σ). This field is optional but can only be used if you are performing a Z-Test.
• For T-Test: Enter the sample standard deviation in the field labeled Sample Standard Deviation (s). This field is optional but applies only if you’re conducting a T-Test.

Step 6: Enter the Significance Level

In the field labeled Significance Level (α), input your chosen significance level (e.g., 0.05). This is a required field and must be a value between 0.001 and 0.999.

Step 7: Choose the Alternative Hypothesis

Select the form of the alternative hypothesis from the Alternative Hypothesis options. You can choose from:

• Two-tailed (≠) – Tests if the sample mean is different from the null hypothesis mean.
• Left-tailed (<) – Tests if the sample mean is less than the null hypothesis mean.
• Right-tailed (>) – Tests if the sample mean is greater than the null hypothesis mean.

Step 8: Calculate the Result

Initiate the calculation process by ensuring all fields are appropriately filled out. The calculator will output the results in the following fields:

• Test Statistic: The calculated test statistic value.
• P-Value: The probability value that helps determine whether to reject the null hypothesis.
• Critical Value: The cutoff value for rejecting the null hypothesis based on the significance level.
• Test Conclusion: The decision to reject or fail to reject the null hypothesis based on the p-value and significance level.
• Confidence Interval: The range within which the true mean of the population is expected to lie, calculated at the specified significance level.