Answered: The random and 10% conditions are met.…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 16CT: How many six-digit license plates can be made if no plate begins with 0 or 1?

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Question

A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table.

The researcher would like to test these hypotheses:

H₀: There is no difference in the distribution of responses among these three populations.
H_a: There is a difference in the distribution of responses among these three populations.

The random and 10% conditions are met. Is the Large Counts condition met?

Yes, the smallest expected count is 5.85, so all expected counts are at least 5.

Yes, the smallest expected count is 6, so all expected counts are at least 5.

No, the smallest expected count is 0.04, so the expected counts are not all at least 5.

No, the smallest expected count is 0.05, so the expected counts are not all at least 5.