A local novelty manufacturer, ABC Toys, makes packages of random plastic toys for use in piatas. The company produces color coordinated toy packages, and wants to have an even mix of two colors of toys in each bag. The manufacturer recently learned that the subcontractor they use to put together the packages is going out of business, so they are looking for a new subcontractor.

ABC Toys sends their head of quality control to XYZ's facility and pull a random sample package with 570 toys in the package, of which 320 are red toys and the remaining are blue toys.ABC Toys' head of quality control tells the CEO of ABC Toys that XYZ Packaging does not have the needed capabilities to produce the even (50/50) mix of toys that ABC Toys wants in their product, but rather that the red toys are more than 50% of the production.

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Does the sample package from XYZ Packaging provide sufficient evidence to support the conclusion by ABC Toys' head of quality control?

1. Do a hypothesis test using the sample and =0.01. You may use an app to do the test. If you do so, you must insert a screenshot of your work and also specifically identify the following:
2. Identify the null and alternative hypothesis, be sure to use appropriate notation. Justify your choice of null hypothesis from the context of the problem.
3. Identify the test statistic and associated p-value
4. State the conclusion of the hypothesis test. Include the statistical justification for the conclusion.
5. Put the result of your test into the context of the problem. Does the hypothesis test support the claim by the head of quality control? Why or why not? Justify your argument using the results of your hypothesis test.