Home > Finding the Confidence Interval

Page 1 |

Page 1 of 2 Instructions on the left pertain to

The Null hypothesis is usually in the form of:

=

��:0

hypothesized value

=

��:0

hypothesized value

• is the research hypothesis • is what the problem is asking you to show • uses the ��, <, or > inequalities

Population mean Population Proportion

When �� known:

( )

( )

��

- =

( ) ( )( )

. 1 .

- = -

When �� unknown:

( )

( )

- =

Page 2 |

Page 2 of 2

• the sample mean • standard deviation • sample size

Descriptive statistics needed:

• the sample proportion • sample size

Check to see if the p-value is less than or equal to the level of significance, ��. In other words, is the p-value �� ��? If it is, reject H0. If it is NOT, then fail to reject H0.

If you rejected H0��The data is inconsistent with H0 and it provides sufficient evidence to support Ha. If you failed to reject H0��The data does NOT provide sufficient evidence to support Ha. If

��

, then it is the area under

��

, then it is the area under

��

, then it is 2 times the area to right of

��

, then it is the area under curve to the right of calculated

��

, then it is the area under curve to the left of calculated

��

, then it is 2 times the area to right of

When �� known:

Z-Test

When �� unknown:

T-Test

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