Question

Assume that the significance level is alpha equals 0.05. Use the given information to find the​ P-value and the critical​ value(s). The test statistic of z = 1.41 is obtained when testing the claim that p > 0.4.

P-value =  

Answer 1

a)

From the given information, the test statistic is 1.41. Since, the alternative hypothesis has greater than symbol; the right tailed test is applicable.

The p-value is obtained below:

From the “Standard normal distribution table”, the area to the left of z =1.41 .

p-value = 0.0793

b.

Consider test statistic as 1.41 and the level of significance is, .

The right-tailed test is applied, the value, the area of under curve

Procedure for finding the z-value is listed below:

1.From the table of standard normal distribution, locate the probability value as 0.95.

2.Move left until the first column is reached. Note the value as 1.6

3.Move upward until the top row is reached. Note the value as 0.04 and 0.05

4.The average of 1.64 and 1.65 gives the value of z. That is, .

From the “Standard normal table”, the required critical value is, is 1.645. That is, .

Part B

The critical value for the test statistic is 1.645.