Question

A fast-food restaurant plans a special offer that will enable customers to purchase specially designed drink glasses featuring well-known cartoon characters. If more than 15% of the customers will purchase the glasses, the special offer will be implemented. A preliminary test has been set up at several locations, and 22 of 100 customers purchased the glasses. Should the special offer be introduced? What is the relevant point estimate? What is the value of the test statistic? This test statistic has: O A standard normal distribution O A t distribution with 100 degrees of freedom A normal distribution O A t distribution with 22 degrees of freedom O A t distribution with 99 degrees of freedom What is the p-value for this test? Allowing for a 5% chance of a Type 1 error, what is your conclusion for this test? O Do not reject the null hypothesis, and conclude that there is insufficient evidence that the special offer should be introduced. O Reject the null hypothesis, and conclude that the special offer should be introduced O Reject the null hypothesis, and conclude that there is insufficient evidence that the special offer should be introduced O Do not reject the null hypothesis, and conclude that the special offer should be introduced.

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Answer #1

  Test concerning Population Proportion

Answer 1) relevant point estimate is value of sample proportion = 22/100 =. 22

Answer 2)

Test statistic :

l0o PPop Pasamt .15 F1.96 A 3 )寸ear statistic Ras- Std No disth ophon A-) Pvalua P -Value - 5 4150 = 。035 80 Reyect Ho at 5% level , Ho: Po=015 Has P 5 upper tailed t test

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