One Sample Test of Proportion

infer_os_prop_test compares proportion in one group to a specified population proportion.

infer_os_prop_test(
  data,
  variable = NULL,
  prob = 0.5,
  phat = 0.5,
  alternative = c("both", "less", "greater", "all")
)

# S3 method for default
infer_os_prop_test(
  data,
  variable = NULL,
  prob = 0.5,
  phat = 0.5,
  alternative = c("both", "less", "greater", "all")
)

Arguments

data	numeric vector of length 1 or a data.frame or tibble
variable	factor; column in data
prob	hypothesised proportion
phat	observed proportion
alternative	a character string specifying the alternative hypothesis, must be one of "both" (default), "greater", "less" or "all". You can specify just the initial letter.

Value

infer_os_prop_test returns an object of class "infer_os_prop_test". An object of class "infer_os_prop_test" is a list containing the following components:

n

number of observations

phat

proportion of 1's

p

assumed probability of success

z

z statistic

sig

p-value for z statistic

alt

alternative hypothesis

obs

observed number of 0's and 1's

exp

expected number of 0's and 1's

deviation

deviation of observed from expected

std

standardized resiudals

Deprecated Function

prop_test() has been deprecated. Instead use infer_os_prop_test().

References

Sheskin, D. J. 2007. Handbook of Parametric and Nonparametric Statistical Procedures, 4th edition. : Chapman & Hall/CRC.

See also

prop.test binom.test

Examples

# use as a calculator
infer_os_prop_test(200, prob = 0.5, phat = 0.3)
#>      Test Statistics       
#> --------------------------
#> Sample Size            200 
#> Exp Prop               0.5 
#> Obs Prop               0.3 
#> z                  -5.6569 
#> Pr(|Z| > |z|)            0 
#> 
#> -----------------------------------------------------------------
#> Category    Observed    Expected    % Deviation    Std. Residuals 
#> -----------------------------------------------------------------
#>    0          140         100          40.00            4.00      
#>    1           60         100         -40.00           -4.00      
#> -----------------------------------------------------------------

# using data set
infer_os_prop_test(hsb, female, prob = 0.5)
#>      Test Statistics      
#> -------------------------
#> Sample Size           200 
#> Exp Prop              0.5 
#> Obs Prop            0.545 
#> z                  1.2728 
#> Pr(|Z| > |z|)      0.2031 
#> 
#> -----------------------------------------------------------------
#> Category    Observed    Expected    % Deviation    Std. Residuals 
#> -----------------------------------------------------------------
#>    0           91         100          -9.00           -0.90      
#>    1          109         100           9.00            0.90      
#> -----------------------------------------------------------------