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Chapter 10: Q.103 (page 604)

Use the following information to answer the next three exercises. Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system . It is spread by the Culex species of mosquito. In the United States in 2010 there were 629 reported cases of neuroinvasive West Nile virus out of a total of 1,021 reported cases and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a1%level of significance, conduct an appropriate hypothesis test.
  • "2011" subscript: 2011 group.
  • "2010" subscript: 2010 group

(a) a test of two proportions
(b) a test of two independent means
(c) a test of a single mean
(d) a test of matched pairs.

Short Answer

Expert verified

Answer is (a)

Step by step solution

01

Given information

Conduct an appropriate hypothesis test with a 1% level of significance.

02

Explanation

A z-test for two proportions compares two proportions to see if they are the same. The proportions are equal is the null hypothesis (H0)for the test. H1is the alternative hypothesis, which states that the proportions are not equal.

according to the information given in the question, we know that there are two samples:

2011 group and 2010 group. it is a proportionate test.

Therefore option (a) is the correct answer

03

Incorrect answer 

The two-sample t-test (also termed as the independent samples t-test) is just a statistical approach for determining if two variable' estimated population means are equal. Here, we know the samples.

When you compare the mean value to another predicted value, you're testing a single mean.

Therefore option b, c, and d are incorrect.

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Most popular questions from this chapter

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

In words, define the random variable for this test.

Use the following information to answer the next 15exercises: 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

The known standard deviation in salary for all mid-level professionals in the financial industry is \(11,000. Company A and CompanyB are in the financial industry. Suppose samples are taken of mid-level professionals from Company A and from Company B. The sample mean salary for mid-level professionals in Company A is\)80,000. The sample mean salary for mid-level professionals in Company B is $96,000. Company A and Company B management want to know if their midlevel professionals are paid differently, on average.

Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.

Are standard deviations known or unknown?

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.

In words, define the random variable of interest for this test.

What is the p-value?
See all solutions

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