You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 65%. with ha : p < < 65% you obtain a test statistic of z = − 2.246 z=-2.246. find the p-value accurate to 4 decimal places. p-value =

Step-by-step explanation:

1) Data given and notation

n represent the random sample taken

X represent the number of items with the charcteristics desired

estimated proportion of items with the charcteristics desired

is the value that we want to test

represent the significance level  

z would represent the statistic (variable of interest)

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

3) Calculate the statistic  

The statistic on this case is given Z=-2.246  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

It would be 10bpm per 20 steps