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Quiz: Chapter 9 Quiz Time Remaining: 00:49:04 Submit Quiz This Question: 1 pt 2

ID: 3282528 • Letter: Q

Question

Quiz: Chapter 9 Quiz Time Remaining: 00:49:04 Submit Quiz This Question: 1 pt 2 of 10 (1 complete) This Quiz: 10 pts possible One study, based on responses rom 102 1 randomly selected teenagers, conclude hat 43% o teenagers cite grades as the greatest source of pressure Use a 0 0 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure Formulate the null and alternative hypotheses. Choose the correct answer below H p-0.5 OC. Ho p-0.5 ?? ?>0.5 ??, ?? ?-05 Ha p 0.5 O D. Ho p 05 Ha p505 Find the test statistic z 00 (Round to two decimal places as needed) Find the P- value for the found test statistic P-value 04992(Round to four decimal places as needed) State the conclusion. Choose the correct answer below Click to select your answer(s)

Explanation / Answer

z = (p-p0) / sqrt(p0(1-p0)/n)

p = 0.43, p0 = 0.50, n = 1021

Thus, z = (0.43-0.50)/ sqrt(0.50*0.50/1021)

z = - 4.47

P- value = 2*P(Z<= -4.47) = 0 (approximately)