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- Posted on: Mon 02 Sep, 2013
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1. What is the level of significance of a test of hypothesis?

1. For each of the following rejection regions, sketch the sampling distribution for z and indicate the location of the rejection region and determine the probability that a Type I error will be made:

z1.645, zz>1.96, z>2.575

1. Several years ago, a government agency reported the default rate on a certain type of loan at 0.055. Set up the null and alternative hypotheses to determine if the default rate this year is less than 0.055.

1. For the a and observed significance level (p-value)pair, indicate whether the null hypothesis would be rejected.

a=0.05 p-value=0.45

1. A study analyzes recent incidents involving terrorist attacks.

2

1

1

1

1

1

2

5

1

1

5

1

2

1

2

1

4

1

2

2

a. Do the data indicate that the true mean number of suicide bombings for all terrorist group attacks against this country differs from 3.5? Use a =0.01, p-value=0.0000

b. A 99% confidence interval for the mean of the population was found to be 1.85±0.837.

c. Do the inferences derived from part a and be agree?

d. What assumptions about the data must be true for the inferences to be valid?

e. Comment on the validity of the inference.

1. Suppose 41 of 111 randomly selected shoppers believe that “Made in USA” means that 100% of labor and materials are from the United States. Let p represent the true proportion of consumers who believe “Made in the USA” means 100% of labor and materials are from the United States.

a. A. Calculate a point estimate for p.

b. A claim is made that p is 0.30. Set up the null and alternative hypotheses .

c. Calculate the test statistic for the test, part b.

d. Find the rejection region for the test if a=0.10.

e. Make the appropriate conclusion.

1. Independent random samples from approximately normal populations produced the results shown below.

Sample 1 |
Sample 2 |

43 |
67 |

20 |
53 |

38 |
60 |

38 |
52 |

47 |
57 |

40 |
22 |

21 |
32 |

40 |
34 |

60 |
50 |

59 |
65 |

a. Do the data present sufficient evidence to conclude that mean 1-mean 2≠0? Use a =0.01.

Find the test statistic.

Find the p-value.

Choose the correct conclusion below.

b. Construct a 99% confidence interval for (mean1-mean2).

1. The data for a random sample of six paired observations are shown in the table.

Pair |
Population 1 Sample (Observation 1) |
Population 2 Sample (Observation 2) |

1 |
9 |
8 |

2 |
2 |
2 |

3 |
6 |
4 |

4 |
1 |
3 |

5 |
5 |
6 |

6 |
5 |
5 |

a. Calculate d and s_d^2.

b. What is the 90% confidence interval for mean d?

c. What is the appropriate conclusion of the hypothesis test at a=0.10?

1. Construct a 95% confidence interval for (p1-p2) in each of the following situations.

a. n 1 =400, p 1 =0.66, n 2 =400, p 2 = 0.57.

b. n 1 =180, p 1 =0.31, n 2 = 250, p 2 =0.27.

c. n 1 =100, p 1 =0.47, n 2 =120, p 2 =0.59.

A newspaper reported the results of a survey on the planning habits of men and women . In response to a question “What is your preferred method of keeping track of meetings?” 55 of men and 45 of women answered “I keep them in my head”. A nationally representative sample of 1,000 adults participated in the survey; therefore, assume that 500 were men and 500 were women.

a. Set up the null and alternative hypotheses for testing whether the percentage of men who prefer keeping track of appointments in their head, p1, is larger than the corresponding percentage of women, p2.

b. Compute the test statistic for the test.

c. Give the rejection region for the test, using a=0.01.

d.Find the p-value for the test.

e. Make an appropriate conclusion.

An auto dealer researching customer preferences for cars asks customers which colors they prefer in a car from a choice of red, yellow, black, and white. The data being collected can be categorized as

Which of the following choices determines the extent to which a measuring instrument measures what the researcher sets out to measure?

Which type of scale consists of statements that express either a favorable or unfavorable attitude toward an object of interest?

The assignment of numbers or symbols to a property of objects according to value or magnitude is called

Rachel is conducting a telephone interviews for Blockbuster. When she interviews customers of Netflix she tends to change the wording of the question “How loyal are you to using Blockbuster” to “So, you aren’t loyal to Blockbuster, are you”. Which of the following sources of error in communication research is present in this example?

Every time a Netflix customer returns a DVD, Netflix asks the customer to evaluate the DVD relative to other DVDs on a scale from one to five. Netflix is using… question to learn customer preferences.

When target questions present the participants with a fixed set of choices, they are

Solution Description

10. A newspaper reported the results of a survey on the planning habits of men and women . In response to a question “What is your preferred met