Question

This Tes 4 of 13 (1 complete) This Question: 1 pt Assume that the significance level is α-0.05. Use the given information to find the P-value and the critical value(s). The test statistic of z-1.23 is obtained when testing the claim that p 0.2. Click here to view page 1 of the Normal table. Click here to view page 2 of the Normal table. P-value = □ (Round to four decimal places as needed.) The critical value(s) is/are z Round to two decimal places as needed. Use a comma to separate answers as needed.) Enter your answer in each of the answer boxes. 5 6 0

Answer 1

SOLUTION:

From given data,

Assume that the significance level is $\alpha$ =0.05. Use the given information to find the P-value and the critical value(s). The test statistic of z = 1.23 is obtained when testing the claim that p > 0.2

Significance level = $\alpha$ =0.05.

The test statistic = z = 1.23

Test hypothesis

Ho : p = 0.2

Ha :p > 0.2

P-value :

P-value = P (Z > z )

= P (Z > 1.23 )

  =1- P (Z < 1.23 )

= 1- 0.89065

= 0.10935

from the standard normal distribution table the associated probability for the area is 0.10935

the p value for this test is 0.1094

The critical values is/are z=

Significance level = $\alpha$ =0.05.

probability = $\alpha$/2 = 0.025

Z _$\alpha$/2 = 1.96

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