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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Topic Video
Question

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?

 

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill