Exam 9: Statistical Inference: Hypothesis Testing for Single Populations

Elwin Osbourne,CIO at GFS,Inc. ,suspects that at least 25% of email messages sent by GFS employees are not business related.A random sample of 300 email messages was selected to test this hypothesis at the 0.01 level of significance.Fifty-four of the messages were not business related.The appropriate decision is __.

(Multiple Choice)

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Question 61

If the researcher computes the probability of the calculated statistic and compares it to alpha,the level of significance to reach a decision,the researcher is using the p-value method for testing the hypotheses.

(True/False)

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Question 62

The diameter of 3.5 centimetre discs is normally distributed.Periodically,quality control inspectors at Winnipeg Discs randomly select a sample of 16 discs.If the mean diameter of the discs is too large or too small the disc punch is shut down for adjustment;otherwise,the punching process continues.The last sample showed a mean and standard deviation of 3.55 and 0.08 centimetres,respectively.Using $\alpha$ = 0.05,the appropriate decision is ___.

(Multiple Choice)

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Question 63

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two-tailed test is +1.96.The observed z value from sample data is 2.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

(Multiple Choice)

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Question 64

A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief,a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem,the alternative hypothesis would be ___.

(Multiple Choice)

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Question 65

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and an one?tailed test is 1.645.The observed z value from sample data is 1.13.The decision made by the researcher based on this information is to ___ the null hypothesis.

(Multiple Choice)

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Question 66

Suppose you are testing the null hypothesis that a population mean is less than or equal to 80,against the alternative hypothesis that the population mean is greater than 80.If the sample size is 49 and alpha = .10,the critical value of z is ___.

(Multiple Choice)

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Question 67

If a null hypothesis was not rejected at the 0.10 level of significance,it will be rejected at a 0.05 level of significance based on the same sample results.

(True/False)

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Question 68

The rejection region for a hypothesis test becomes smaller if the level of significance is changed from 0.01 to 0.05.

(True/False)

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Question 69

Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60,against the alternative hypothesis that the population mean is less than 60.The sample size is 64 and $\alpha$ = .05.If the sample mean is 58 and the population standard deviation is 16,the observed z value is ___.

(Multiple Choice)

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Question 70

Whenever hypotheses are established such that the alternative hypothesis is "not equal to",the hypothesis test would be a two-tailed test.

(True/False)

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Question 71

When a false null hypothesis is rejected,the researcher has made a Type II error.

(True/False)

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Question 72

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two-tailed test is +1.96.The observed z value from sample data is -1.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

(Multiple Choice)

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Question 73

In performing a hypothesis test where the null hypothesis is that the population mean is 6.9 against the alternative hypothesis that the population mean is not equal to 6.9,a random sample of 16 items is selected.The sample mean is 7.1 and the sample standard deviation is 2.4.It can be assumed that the population is normally distributed.The level of significance is selected as 0.05.The decision rule for this problem is to reject the null hypothesis if the observed "t" value is ___.

(Multiple Choice)

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Question 74

Consider the following null and alternative hypotheses: H_o: µ $\le$ 67 H_a: µ > 67 These hypotheses ___.

(Multiple Choice)

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Question 75

Consider the following null and alternative hypotheses: H_o: p = 0.16 H_a: p $\neq$ 0.16 These hypotheses ___.

(Multiple Choice)

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Question 76

In a two-tailed hypothesis about a population mean with a sample size of 100 and α = 0.05,the rejection region would be ___.

(Multiple Choice)

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Question 77

Reach a statistical conclusion in hypothesis testing problems about a population mean with a known population standard deviation using the z statistic.

(Essay)

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Question 78

A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief,a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem,the test would be ___.

(Multiple Choice)

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Question 79

Showing 61 - 79 of 79

If the researcher computes the probability of the calculated statistic and compares it to alpha,the level of significance to reach a decision,the researcher is using the p-value method for testing the hypotheses.

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two-tailed test is +1.96.The observed z value from sample data is 2.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and an one?tailed test is 1.645.The observed z value from sample data is 1.13.The decision made by the researcher based on this information is to ___ the null hypothesis.

Suppose you are testing the null hypothesis that a population mean is less than or equal to 80,against the alternative hypothesis that the population mean is greater than 80.If the sample size is 49 and alpha = .10,the critical value of z is ___.

If a null hypothesis was not rejected at the 0.10 level of significance,it will be rejected at a 0.05 level of significance based on the same sample results.

The rejection region for a hypothesis test becomes smaller if the level of significance is changed from 0.01 to 0.05.

Whenever hypotheses are established such that the alternative hypothesis is "not equal to",the hypothesis test would be a two-tailed test.

When a false null hypothesis is rejected,the researcher has made a Type II error.

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two-tailed test is +1.96.The observed z value from sample data is -1.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

Consider the following null and alternative hypotheses: H_o: µ $\le$ 67 H_a: µ > 67 These hypotheses ___.

Consider the following null and alternative hypotheses: H_o: p = 0.16 H_a: p $\neq$ 0.16 These hypotheses ___.

In a two-tailed hypothesis about a population mean with a sample size of 100 and α = 0.05,the rejection region would be ___.

Reach a statistical conclusion in hypothesis testing problems about a population mean with a known population standard deviation using the z statistic.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 9: Statistical Inference: Hypothesis Testing for Single Populations

If the researcher computes the probability of the calculated statistic and compares it to alpha,the level of significance to reach a decision,the researcher is using the p-value method for testing the hypotheses.

A researcher is testing a hypothesis of a single mean.The critical z value for α\alphaα = .05 and a two-tailed test is +1.96.The observed z value from sample data is 2.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

A researcher is testing a hypothesis of a single mean.The critical z value for α\alphaα = .05 and an one?tailed test is 1.645.The observed z value from sample data is 1.13.The decision made by the researcher based on this information is to ___ the null hypothesis.

Suppose you are testing the null hypothesis that a population mean is less than or equal to 80,against the alternative hypothesis that the population mean is greater than 80.If the sample size is 49 and alpha = .10,the critical value of z is ___.

If a null hypothesis was not rejected at the 0.10 level of significance,it will be rejected at a 0.05 level of significance based on the same sample results.

The rejection region for a hypothesis test becomes smaller if the level of significance is changed from 0.01 to 0.05.

Whenever hypotheses are established such that the alternative hypothesis is "not equal to",the hypothesis test would be a two-tailed test.

When a false null hypothesis is rejected,the researcher has made a Type II error.

A researcher is testing a hypothesis of a single mean.The critical z value for α\alphaα = .05 and a two-tailed test is +1.96.The observed z value from sample data is -1.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

Consider the following null and alternative hypotheses: Ho: µ ≤\le≤ 67 Ha: µ > 67 These hypotheses ___.

Consider the following null and alternative hypotheses: Ho: p = 0.16 Ha: p ≠\neq= 0.16 These hypotheses ___.

In a two-tailed hypothesis about a population mean with a sample size of 100 and α = 0.05,the rejection region would be ___.

Reach a statistical conclusion in hypothesis testing problems about a population mean with a known population standard deviation using the z statistic.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two-tailed test is +1.96.The observed z value from sample data is 2.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and an one?tailed test is 1.645.The observed z value from sample data is 1.13.The decision made by the researcher based on this information is to ___ the null hypothesis.

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two-tailed test is +1.96.The observed z value from sample data is -1.85.The decision made by the researcher based on this information is to ___ the null hypothesis.

Consider the following null and alternative hypotheses: H_o: µ $\le$ 67 H_a: µ > 67 These hypotheses ___.

Consider the following null and alternative hypotheses: H_o: p = 0.16 H_a: p $\neq$ 0.16 These hypotheses ___.