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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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Most popular questions from this chapter

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level.

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Indicate if the hypothesis test is for :-

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

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