Question

Elliot has finally figured out that his veggie tacos had WAY too much cilantro. He finds a new recipe and invites 500 loyal customers to come and try it. 394 customers indicate that they like the new veggie taco better than the old recipe. Elliot wants to know if 75% of the population will prefer the new recipe and YOU are the savvy business statistician he's found to figure it out! May the odds be ever in your... flavor. a. Set up the null and the alternative hypotheses. b. Determine the test statistic. c. Determine the p-value. d. At 95% confidence, test to determine if more than 80% of the population will prefer the new recipe.

PLEASE SHOW DETAILED WORK FOR EACH PROBLEM

Answer 1

SOO Answer: From the given data. Sanyle Sre N5500 HO of Javavable cases x= 394 sample proportion Ps 300-0788 2-0.05 a typothesis Hull to: p=0.75 Alternativetta p>0.75 6 Rejection Region 2005 Critical value for a right Tailed test Zc =1.64 R-{2:2>1.643 o Test-statistic P-Po - 1962 SPO (1-Po/h 0.75(1-0-79800 d) Decision about null hypothesis. Since it is observed that Z=1-962 >7<=1-69, it is then concluded that the null hypothesis is rejected using the P-value approach since P=0.0149 2.250.05 it is concluded that null hypothesis is regected. 0.788-0075 the