According to QSR magazine, Chick-Fil-A has the best accuracy of drive thru orders with 96.4% of all its drive thru orders filled correctly. Jaylen Hotdogfingers, owner of Hot Dog Garage, thinks she has implemented a system that beats this accuracy rate. To test this, she conducts a random sample of 350 drive thru orders at Hot Dog Garage; 343 of them were accurate.

1. Determine the sample proportion of hot dog drive thru orders that were accurate.

2. What hypotheses should be used in a hypothesis test? Give your hypotheses in both words and symbols.

3. Verify that a Normal model may be used to determine a P-value for this hypothesis test.

4. Use technology to calculate the P-value.

5. Draw a Normal model with the area representing the P-value shaded for this hypothesis test.

6. Based on the P-value, what conclusion should be drawn, using =0.1? Be sure to state your conclusion in the context of this problem.

PLEASE SHOW WORK!!!