Risk manager wants to know if VaR violations of the risk model are independent, and ask you to backtest. Your team has calculated hit sequence and got you the following counts. Conduct the appropriate hypothesis testing. What is your null hypothesis? What is your test statistic? What is your conclusion?   P 1% T0 242 T1 10 T00 230 T01 10 T10 10 T11 1

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A: H0: p1 = p2 Alternative hypothesis: Ha: p1 ≠ p2

Q: Estimate the p-value for this test.

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A: The given values are: x¯=33,s=10,n=24,H0:μ=26,Ha:μ>26.

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Q: Let Y - Wei(2,2) Compute V(Y). O 3.1416 O .8584 (answer) O -2.1416 O 4.1416 Let Y ~ W ei(2, 2)…

A: The variance is calculated as follows:

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A: Given data,n=500p-hat =44% =0.44α=0.02Population proportion P=40%=0.40Test statistic is ?

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Q: Risk manager wants to know if VaR violations of the risk model are independent, and ask you to…

A: Given ,  data P=1%T0=242T1=10T00=230T01=10T10=10T11=1

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A: Denote p1 is true proportion of male who won cat and p2 is the true proportions female who won cat.

Q: Risk manager wants to know if VaR violations of the risk model are independent, and ask you to…

A: Given ,  data P=1% T0=242  T1=10  T00=230  T01=10  T10=10  T11=1

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A: Hypothesis  Ho: p=0.70 vs H1: p< 0.70 Given  Alpha= 0.01, pcap= 0.64, n=500

Q: If you reject the null hypothesis at the 5% significance level, would you reject it at the 7% level?

A: It is given that we reject the null hypothesis at 5% significance level.

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Q: Test the claim that the proportion of people who own cats is significantly different than 80% at the…

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A: Here one sample proportion test( tow tail z test of proportion )

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.