Determine the Null and Alternative Hypotheses for the Study That $\mathrm { H } _ { 0 }$

question 24

Multiple Choice

Determine the null and alternative hypotheses for the study that produced the data in the table.
-A researcher performed a study to determine whether an association exists between sex and blood type. He obtained the following sample data.

• A) \(\mathrm { H } _ { 0 }\) : Sex and blood type are independent. \(\mathrm { H } _ { \mathrm { a } }\) : There is some relationship between sex and blood type.
• B) \(\mathrm { H } _ { 0 }\) : There is some relationship between sex and blood type. \(\mathrm { H } _ { \mathrm { a } }\) : Sex and blood type are not independent.
• C) \(\mathrm { H } _ { 0 }\) : There is some relationship between sex and blood type. \(\mathrm { H } _ { \mathrm { a } }\) : Sex and blood type are independent.
• D) \(\mathrm { H } _ { 0 }\) : Sex and blood type are independent. \(\mathrm { H } _ { \mathrm { a } }\) : There is no relationship between sex and blood type.

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Definitions:

Bootstrap Distribution

A sampling distribution estimated by resampling with replacement from an observed dataset, typically used to estimate the variability of a statistic.

Confidence Interval

An interval estimate that provides an upper and lower limit within which the true parameter of a population is expected to fall, with a specified probability.

Annual Salaries

The total earnings of an individual or employee over the course of a year, excluding bonuses or other additional payments.

Corporate Executives

High-ranking officials within a corporation who are responsible for making major decisions and implementing policies.