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Chapter 10: Q. 9 (page 596)

In a random sample of 100 forests in the United States, 56 were coniferous or contained conifers. In a random sample of 80 forests in Mexico, 40 were coniferous or contained conifers. Is the proportion of conifers in the United States statistically more than the proportion of conifers in Mexico?

Short Answer

Expert verified

Two proportions are being tested.

Step by step solution

01

Given information

  • There were 100 random samples of forests in the United States, 56 of which were coniferous or had conifers.
  • There were 80 random forest samples in Mexico, 40 of which were coniferous or included conifers.
  • To determine whether the United States has a higher proportion of conifers than Mexico.
02

To identify the most appropriate hypothesis test for the supplied data.

Assuming that the percentage of conifers in Mexico is pM

Assume that the proportion of conifers in the United States ispU

The null and alternative hypotheses are stated as follows:

H0:PU=pMHa:PUU>pM

This demonstrates that there are two proportions in this hypothesis test.

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