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(a) Write the claim mathematically and identify Ho and Ha (b) Find the critical

ID: 3323928 • Letter: #

Question

(a) Write the claim mathematically and identify Ho and Ha (b) Find the critical value(s) and identify the rejection region(s) (c) Find the standardized test statistic. (d Decide whether to reject or fail to reject the null hypothesis. An environmental agency recently claimed more than 26% of consumers have stopped buying a certain product because of environmental concerns. In a random sample of 1060 consumers, you find 40% have stopped buying the product. At =0.04, do you have enough evidence to support the claim? (a) Which of the following correctly states Ho and Ha? OA. Ho ps0.26 OD. Ho:p=0.26 O B. Ho : p= 0.26 Ha :p#026 O E. Ho: p0.26 Ha ps0.26 Ha p>0.26 H0.26 (b) What is (are) the critical value(s) zo? (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Explanation / Answer

A) Option-D

B) At alpha = 0.04 the critical value is z0 = 2.05

Option-C is the correct answer.

C) The test statistic Z = (p - P)/sqrt (P * (1 - P)/n)

. = (0.4 - 0.26)/sqrt(0.26 * 0.74/1060)

. = 10.39

D) As the test statistic value is greater than the critical value so the null hypothesis is rejected.

option-D is the correct answer.