In 2013, there were many new studies published by psychology and neuroscience re

Question

In 2013, there were many new studies published by psychology and neuroscience researchers on the science of happiness, meaning, and purpose. In one of those studies, a random sample of adults in northern California was asked what they felt was the most important goal for them in life: to be happy, to live a meaningful life, or to know and pursue their life's purpose. Results are presented in the following table. Men Women To be happy 192 590 To live a meaningful (but not necessarily happy) life 64 90 To know and pursue your purpose 188 80 Which hypotheses are being tested by the chi-square test?

The distribution of gender is different for the three different goals.

The null hypothesis is that the most important goal is the same for each gender, and the alternative is that the means differ.

The distribution of most important goals is different for men and women.

The null hypothesis is that the most important goal and gender are independent, and the alternative is that they are dependent.

Explanation / Answer

The chi-square test here will be used to test the independence of attributes therefore the hypotheses being tested by the chi-square test will be,

The null hypothesis is that the most important goal and gender are independent, and the alternative is that they are dependent.

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