The Following Data for Five Years of the Annual Returns

question 58

Multiple Choice

The following data for five years of the annual returns for two of Vanguard's mutual funds,the Vanguard Energy Fund (x) and the Vanguard Healthcare Fund (y) ,were given as s_x = 35.77,s_y = 13.34,s_xy = 447.68.The competing hypotheses are .At the 5% significance level,which of the following is the critical value of the test statistic?

• A) 2.353
• B) 2.571
• C) 2.776
• D) 3.182

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Definitions:

Modified AGI

Modified Adjusted Gross Income (Modified AGI) is a measure used by the IRS to determine eligibility for certain deductions and credits, adjusted from AGI for specific items like IRA contributions and student loan interest.

Married Filing Jointly

A filing status for married couples that allows them to file a single tax return jointly, potentially leading to tax benefits.

Other Income

Earnings or receipts from sources other than a taxpayer's primary occupation, including but not limited to interest, dividends, and rental income.

Form 1040

The official form provided by the Internal Revenue Service (IRS) which is utilized by individuals to submit their yearly income tax returns.