Answered step by step
Verified Expert Solution
Question
1 Approved Answer
points Save Answer The IRS wants to develop a method for detecting whether individuals have overstated their deductions for charitable contributions on their tax returns.
points Save Answer The IRS wants to develop a method for detecting whether individuals have overstated their deductions for charitable contributions on their tax returns. To assist in this effort, the IRS supplied data listing the adjusted gross income (AGI) in $1000 and charitable contributions (Chritable_Giving) for 11 taxpayers whose returns were audited and found to be correct. Below is the regression output (some of which retracted) along with the sample summary statistics. > summary (IRS) Person AGI Charitable_Giving Min. : 1.0 Min. : 55.00 Min. : 4200 1st Qu. : 3.5 1st Qu. : 65.50 Ist Qu. : 6964 Median : 6.0 Median : 78.00 Median : 8600 Mean : 6.0 Mean : 78 . 45 Mean : 9166 3rd Qu. : 8.5 3rd Qu. : 90.00 3rd Qu. : 11955 Max . :11.0 Max. : 105 . 00 Max . : 14675 Call: 1m(formula = IRS$Charitable_Giving ~ IRS$AGI) Residuals : Min 1Q Median 3Q Max -925.2 -558.2 -338.0 243.8 2031.8 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1377.70 -4.561 * * IRSSAGI 196.93 11. 438 1. 16e-06 * * * Signif. codes: 0 '***' 0. 001 '* *' 0.01 '*' 0. 05 '.' 0.1 ' ' 1 Residual standard error: on 9 degrees of freedom Multiple R-squared Adjusted R-squared: 0.9285 F-statistic: 130.8 on 1 and 9 DF, p-value: 1.157e-06You want to conduct a hypothesis test (at a=5% level) for the significance of the regression equation's slope. State the null and alternative hypotheses. Based on the above regression output, what would you conclude about the slope? O The null hypothesis is rejected. There is sufficient evidence to conclude that the slope is significant. O The null hypothesis is not rejected. There is sufficient evidence to conclude that the slope is not significant
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started