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The hypotheses in a z-test for the population mean are H_0: mu less than or equa

ID: 3258239 • Letter: T

Question

The hypotheses in a z-test for the population mean are H_0: mu less than or equal to -10, H-0: mu > -10. The sample mean is x = -10. What is the p-value of this test? 0.5 -0.5 0.2 0.9 1 Assume that the true distribution of the test statistic is normal with mean mu = 0. Given a sample of size n, we would like to test H_0 = 0, H_a: mu not equal to 0. lf we repeat the test with 100 independent samples at significance level alpha = 0.05, in how many tests do we expect to reject the null hypothesis incorrectly? 5 50 95 All of them Cannot be determined Which of the following is correct about a hypothesis test? For small sample sizes we will always make an incorrect decision alpha is the probability of incorrect decision The decision in a hypothesis test is always correct If the null hypothesis is true, then the alternative hypothesis must be wrong p-value is the probability of null hypothesis being true For questions 12-13 refer to the specification the multiple linear regression model: y = beta_a + beta_1x_1 + beta_2x_2 + c. Which of the following is true about e? it is a random variable it is a parameter

Explanation / Answer

Q9) P value will be 0.5 because Test statistic will be zero and hence P(Z>0) will be 0.5

Q10) Answer will be (100-5) = 95

Q11) Option B is correct, Significance denote the probability of incorrect decision or reject the null hypothesis when it is actually true