Finite Math Examples

Determine if Left, Right, or Two Tailed Test
Find (the alternative hypothesis) for the given null hypothesis .
Tap for more steps...
The null hypothesis must always include the concept of equality, which means that it must include the operators equal, less or equal, or greater or equal. On the other hand, the alternative hypothesis must always express the opposite of the operator used for the null hypothesis, which means it should always include not equal, greater than, or less than.
Null hypothesis:
It must always include equal operator, less than operator, or greater or equal operator.
Alternative hypothesis:
If the null expresses equal operator, the alternative expresses not equal operator.
If the null expresses less or equal, the alternative expresses greater than.
If the null expresses greater or equal, the alternative expresses less than.
The alternative hypothesis or must always express the opposite of the operator used for the null hypothesis . In this case, the opposite of is .
Depending on the alternative hypothesis operator, greater than operator will be a right tailed test, less than operator is a left tailed test, and not equal operator is a two tailed test.
Alternative hypothesis has the greater than operator, right tailed test.
Alternative hypothesis has the less than operator, left tailed test.
Alternative hypothesis has the not equal operator, two tailed (left and right) test.
The alternative hypothesis operator is greater than which gives a right tailed test.
Right tailed test
Enter YOUR Problem

Enter the email address associated with your Mathway account below and we'll send you a link to reset your password.

Please enter an email address
Please enter a valid email address
The email address you entered was not found in our system
The email address you entered is associated with a Facebook user
We're sorry, we were unable to process your request at this time

Mathway Premium

Step-by-step work + explanations
  •    Step-by-step work
  •    Detailed explanations
  •    No advertisements
  •    Access anywhere
Access the steps on both the Mathway website and mobile apps
$--.--/month
$--.--/year (--%)

Mathway Premium

Visa and MasterCard security codes are located on the back of card and are typically a separate group of 3 digits to the right of the signature strip.

American Express security codes are 4 digits located on the front of the card and usually towards the right.
This option is required to subscribe.
Go Back

Step-by-step upgrade complete!

Mathway requires javascript and a modern browser.
  [ x 2     1 2     π     x d x   ]