ztest

Syntax

[h,pvalue,ci] = ztest(x,m,sigma)

[h,pvalue,ci] = ztest(x,m,sigma,name,value)

Inputs

x

Data sample to be tested.

Type: double

Dimension: vector | matrix

m

Hypothesis mean.

Type: double

Dimension: scalar

sigma

Populations standard deviation.

Type: double

Dimension: scalar

name

Name of an option whose value follows. Multiple name/value pairs are allowed. The supported options are alpha and dim.

alpha is the level of significance (default: 0.05).

dim is the dimension on which the test is performed (default: first non-singular dimension).

Type: string

value

Value for the preceeding option name.

Type: double | integer

Dimension: scalar

Outputs

h

0 if the null hypothesis is accepted. 1 if the null hypothesis is rejected.

pvalue

The p-value of the test.

ci

A 100*(1-alpha)% confidence interval for the population mean.

Example

Vector ztest example

x = [7.3 9.4 5.9 6.5 5.5 7 5.3 7.3 2.6 8.7 8.1 2.5 3.9 1.4 0.2 4 6 6.1 10.3 1.2];
[h,pvalue,ci] = ztest(x,5,2)

h = 0
pvalue = 0.30367
ci = [Matrix] 1 x 2
4.5835 6.3365

Comments

ztest is a 1 sample z test and assumes that the sample comes from a normally distributed population. The null hypothesis is that the hypothesized mean is the population mean.