A study of color in tiger beetles is conducted to support the contention that the proportion of black beetles may vary from locality to locality (alpha=0.05). A sample of 500 beetles caught in one season near Providence, Rhode Island, yielded 95 black beetles.  A catch of 112 beetles from Aqueduct, New York, contained 17 black individuals. 1. What is null and alternative hypothesis? 2. What proportions did you observe in the two localities? 3. What is the null standard error for the difference? 4. Calculate the appropriate test statistic. 5. What p-value do you associate with that statistic? 6. What do you conclude about the proportion of black beetles in the two locations?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.