Question

A start-up company is about to market a new computer printer. It decides to gamble by running corrimercials during a championship garne. The company hopes that name recognition will be worth the high cost of the ads. The goal of the company is that over 35% of the public recognize its brand name and associate it with computer equipment. The day after the game, a pollster contacts 428 randomly chosen adults and finds that 183 of them know that this company manufactures printers. Would you recommend that the company continue to advertise during the championship game? Explain. (Consider a result to be surprising if the probability of observing it given your expectations is less than 0.05.) VECE U Typu SES TUUS ES VIOUSCHE WELL ANSWE DEUW. O A Hyp=0.35 va. Ha p<0.35 OB. Hy: p=0.35 vs. Haip > 0.35 OC. Hyp<0.35 vs. Ha: p=0.35 OD. Hy:p>0.35 vs. Hx: p=0.35 Compute the test statistic. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. The test statistic is (Round to two decimal places as needed.) O B. The test statistic cannot be calculated. The conditions for a hypothesis test are not all met. Calculate the P-value. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A The P-value is (Round to three decimal places as needed.) OB. The P-value cannot be calculated. The conditions for a hypothesis test are not all met. Would you recommend that the company continue to advertise during the championship game? O A. Yes, because the null hypothesis is rejected. Thus, there is sufficient evidence that more than 35% of the public recognizes the product. OB. No, because the null hypothesis is rejected. Thus, there is insufficient evidence that more than 35% of the public recognizes the product. O c. Yes, because the null hypothesis is not rejected. Thus, there is sufficient evidence that more than 35% of the public recognizes the product. OD. No, because the null hypothesis is not rejected. Thus, there is insufficient evidence that more than 35% of the public recognizes the product.

Answer 1

n=428 183 2=0.05 evidence that more than 35u/ of public recognize product Solution: a) riest hypothesis: Ho: P = 0.35 Hai p>0.35 Option B Given , P. = 35.1.=0.35 183 -0.42.75 rest statistic: Z=P-P 0.4275 -0.35 P(1-P) Z=3.3614 = 0.0003 using Z-table , sight tail Since Pavalul 20.05 .05, Reject Ho. yes, because the full hypothesis is rejected 428 A 0.35(1-0-35) 53.3614 428 P-value A There is sufficient Option A