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arry out the following hypothesis test: H0:1+3=32 H 0 : 1 + 3 =3 2 Ha:1+332 Ha : 1 + 3 =3 2 Using the

image text in transcribed

arry out the following hypothesis test:

H0:1+3=32

H0

:1

+3

=32

Ha:1+332

Ha

:1

+3

=32

Using the R output below.Calculate the value of the test statistic.

Numeric answers only. Do not include units. You may round your final answer to two decimal places.

image text in transcribedimage text in transcribed
Carry out the following hypothesis test: Ho : B1 + B3 = 3B2 Ha : B1 + B3 # 3B2 Using the R output below. > Im_model 1m_model Call: 1m(formula = Y ~ X1 + X2 + X3, data = dataset) Coefficients: (Intercept) X1 X2 X3 -28.9 0.3 3.9 19.7 > vcov (1m_model) (Intercept) X1 X2 X3 (Intercept) 389.5 -78.0 9.0 -7.3 X1 -78.0 19.9 -2.1 -13.1 X2 9.0 -2.1 1. 6 -4.7 X3 -7.3 -13.1 -4.7 74.5 Q3.1 1 Point Which of the following is the correct equation for the corresponding test statistic? Ot = - B1+3 3 + 3 32 s.e. (B1+83+382|x) Ot= - B1+83+382 s.e. (B1+83+3/2|X) Ot= B1+ 83-3 32 s.e.(B1+83-32|X) Ot= B1+ 83-382 s.e. (81+83-382| X) Ot= B1+83 + 32 -3 s.e. (B1+83+32-3|X) Ot= - B1+83+82-3 s.e.(81+83+$2-3|X)Q3.2 1 Point Which of the following is the correct equation for the standard error used in Question 3.1? O V(Var ( B, |X) + Var(B3|X) + 9Var(32|X) + 2Cou(B1, B:|X) - 6Cov(B1, 2|X) - 6Cou(B3, B2|X)) O V(Var ( B, | X) + Var( B: |X) + 9Var(B2|X) + 2Cou(B1, B3/X)- 6Cov(B1, B2|X) - 6Cov(B3, B2|X)) O (Var (BilX) + Var(B:|X) + 9Var(32|X) + 2Cou(B1, B:|X) + 6Cov(B1, 32|X) + 6Cou(B3, B2|X)) O Var ( Bil X) + Var (B:|X) + 9Var(B2|X)+2Cou(B1, B3|X) + 6Cov(31, B2|X) + 6Cou(B3, B2|X) Save Answer Q3.3 1 Point Calculate the value of the test statistic. Numeric answers only. Do not include units. You may round your final answer to two decimal places. Enter your answer here Save Answer Q3.4 1 Point With a significance level of 5% and a corresponding critical value of 2.056, are the results statistically significant? Yes O No

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