Question

organization wants to have some merchandise produced that will promote its cause at an upcoming event. From previous experience, the organization believes that that 35% of event patrons will purchase the merchandise. A promoter for the organization claims that this percentage is not accurate. At a recent event, 60 randomly selected patrons were surveyed, and 18 of those patrons indicated that they would purchase the merchandise. th 90% confidence, is there sufficient evidence to suggest that the percentage of patrons who would purchase the merchandise is different than 359071 process for hypothesis testing. Include the process of determining the test statistic and corresponding p-value as part of your hypothesis test. be determined from the Z cumulative probability table, use bracketing in the t probability table to estimate the p-value range.) Use the step-by-step If an approximate p-value cannot

Answer 1

null Hypothesis alternate Hypothesis: 0.3500 0.3500 Ho: Ha: for 0.05 level with two tailed test, critical value of z- Decision rule 1.9600 reject Ho if absolute value of test statistic z >1.96 sample success 18 60 sample size std error -Se 0.0616 sample proportion p 0.3000 test stat Z (p-p)/Se- 0.8120 p value 0.4168

from above as p value is significantly high; we can not reject null hypothesis

we do no have suffciient evidence to conclude that percentage of patrons who would purchase the merchandise is different than 35%.