Question

A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.79, and uses 0.01 for the level of significance. a. If the calculated value for the associated test statistic equals -2.71, determine the p-VALUE for the test:

0.0068

0.0034

0.0272

0.0136

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H0 : p =  0.79

Ha : p   0.79

Test statistic = z =  -2.71

P-value = 2 * 0.0034 =0.0068

Option 0.0068 is correct.

= 0.01

P-value <

0.0068 < 0.01

Reject the null hypothesis .

There is sufficient evidence to suggest that