Length of Telephone Surveys. Refer to exercise 48. Assume...

Name: Problem 52, Chapter 9: Essentials of Statistics for Business & Economics
Uploaded: 2022-12-12T09:34:46-08:00
Duration: 1 min 31 s
Channel: Adriano Chikande
Description: Length of Telephone Surveys. Refer to exercise 48. Assume the firm selects a sample of 50 surveys and repeat parts (b) and (c). What observation can you make about how increasing the sample size affects the probability of making a Type II error?

Length of Telephone Surveys. Refer to exercise 48. Assume the firm selects a sample of 50 surveys and repeat parts (b) and (c). What observation can you make about how increasing the sample size affects the probability of making a Type II error?

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Key Concepts

Hypothesis Testing

Hypothesis testing is the statistical framework used to evaluate whether sample evidence supports a specified claim about a population parameter. It involves setting up null and alternative hypotheses and making decisions based on sample data, while acknowledging the risks of making errors in these decisions.

Type II Error

A Type II error occurs when a hypothesis test fails to reject the null hypothesis even though the alternative hypothesis is true. This error reflects the test’s inability to detect a real effect, and its probability (beta) is a crucial aspect of the test's performance.

Sample Size and Statistical Power

Increasing the sample size reduces the standard error, which tightens the confidence intervals and makes it easier to detect a true effect. This increase in precision boosts the statistical power of a test—the probability of correctly rejecting the null hypothesis when the alternative is true—thus lowering the probability of making a Type II error.

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