You run a competitive K-cup coffee company. Your most popular flavor is the French Roast. Suppose a potential competitor has been conducting blind taste tests on its blend and finds that 48% of consumers strongly prefer its French Roast to yours. After tweaking its recipe, the competitor conducts a test with 144 tasters, of which 72 prefer its blend. The competitor claims that its new blend is preferred by more than 48% of consumers to your French Roast. What is the value of the appropriate test statistic to test this claim

The value of the appropriate z test statistic to test this claim is 0.48.

Step-by-step explanation:

We are given that a potential competitor has been conducting blind taste tests on its blend and finds that 48% of consumers strongly prefer its French Roast to yours.

After tweaking its recipe, the competitor conducts a test with 144 tasters, of which 72 prefer its blend.

Let p = proportion of consumers who prefers new blend.

So, Null Hypothesis, : p 48%     {means that the new blend is preferred by less than or equal to 48% of consumers}

Alternate Hypothesis, : p > 48%     {means that the new blend is preferred by more than 48% of consumers}

The test statistics that would be used here One-sample z proportion statistics;

                      T.S. =    ~ N(0,1)

where, = sample proportion of tasters prefer new blend = = 0.50

           n = sample of tasters = 144

So, test statistics  =  

                              =  0.48

Hence, the value of the appropriate z test statistic to test this claim is 0.48.

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)