A Consumer Magazine Wants to Figure Out Which of Two

question 47

Multiple Choice

A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2) . Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags. Does Standard Air have a higher population proportion of lost bags on international flights? Which of the following is the appropriate conclusion at the 5% significance level?

• A) Reject H₀; we can conclude that the proportion of lost luggage is higher for Standard Air than for Down Under airlines.
• B) Reject H₀; we cannot conclude that the proportion of lost luggage is higher for Standard Air than for Down Under airlines.
• C) Fail to reject H₀; we can conclude that the proportion of lost luggage is higher for Standard Air than for Down Under airlines.
• D) Fail to reject H₀; we cannot conclude that the proportion of lost luggage is higher for Standard Air than for Down Under airlines.

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Definitions:

Skewed Distributions

Probability distributions where the values are not symmetrically distributed around the mean, indicating a deviation from the normal distribution.

T Procedures

Statistical methods that involve the use of the t-distribution, commonly used for hypothesis testing or estimating the mean of a population when the sample size is small and the population standard deviation is unknown.

Sample Size

The number of observations or items selected from a population to form a sample for the purpose of statistical analysis.

Standard Errors

The standard deviation of the sampling distribution of a statistic, often used to measure the precision of sample estimates.