Question

A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.33, and uses 0.10 for the level of significance.

-If the calculated value for the associated test statistic equals -1.71, determine the p-VALUE for the test

-If you compare the p-VALUE from Part a to the level of significance, what decision do you make?

Answer 1

## Q ) A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.33, and uses 0.10 for the level of significance.

-If the calculated value for the associated test statistic equals -1.71, determine the p-VALUE for the test

-If you compare the p-VALUE from Part a to the level of significance, what decision do you make?

Answer :

Null Hypothesis: pi = 0.33,

we dont know here alternative Hypothesis ( directioanl or non directioanal ) so here assume two tailed test .

alpha = 0.10 level of significance .

test statistics : z = -1.17

## use statistical table find :

p value =      0.08726 # ( it is value for two tail test )  

and   0.04363 ( for one tailed test )

## Decision : we reject Ho if p value is less than alpha value using p value approach here p value ( for one tail as well as two tailed test ) is less  than alpha value so here we reject Ho at 0.10 level of signficance .

## Conclusion : there is sufficient evidence to conclude that pi is different from 0.33