Deliverable 4 - Hypothesis Tests

Here's a summary of decisions and conclusions of the different types of hypothesis test

scenarios:

Claim uses a Less Than

 H0 uses equal sign

 H1 uses less than

 Left-Tailed test

 If test statistic < critical value reject H0 and evidence supports claim

 If test statistic > critical value do not reject H0 and evidence does not support claim

Claim uses a Greater Than

 H0 uses equal sign

 H1 usesgreater than

 Right-Tailed test

 If test statistic < critical value do not reject H0 and evidence does not support claim

 If test statistic > critical value reject H0 and evidence supports claim

Claim uses an Equal To

 H0 uses equal sign

 H1 uses not equal to

 Left-Tailed test

 If test statistic < negative critical value or if test statistic > positive critical value reject H0

and evidence does not support claim

 If test statistic is between the two critical values do not reject H0 and evidence supports

claim

Claim uses a Not Equal To

 H0 uses equal sign

 H1 uses not equal to

 Left-Tailed test

 If test statistic < negative critical value or if test statistic > positive critical value reject H0

and evidence supports claim

 If test statistic is between the two critical values do not reject H0 and evidence does not

support claim