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1. When the P-value for a test of hypothesis is smaller than the level of significance, the proper conclusion a. is to reject H0 and
1. When the P-value for a test of hypothesis is smaller than the level of significance, the proper conclusion a. is to reject H0 and say there is enough evidence to conclude H1 b. is to reject H 0 and say there is not enough evidence to conclude that H0 is true c. is to fail to reject H0 and conclude that H0 is true d. is to fail to reject H0 and say there is enough evidence to conclude H1 e. None of above. 2. We use the sample standard deviation s to estimate for the population standard deviation sigma (). Then s is properly called the... a. estimator b. point estimate c. critical value d. level of confidence e. margin of error. f. None of above 3. To estimate for a population, mean, one uses a randomly selected sample of size 24. Assume that the population is normally distributed with the population standard deviation of 5.3. Which distribution can be used to estimate for the population mean? a. a standard normal distribution b. a normal distribution c. at-studentdistribution d. a chi-square distribution e. None of other answers is necessary true. 4. The mean annual salary for all teachers in a certain country is $43,000. The mean salary for a sample of 850 teachers equals $36,895. Which of the following is true? a. $43,000 is a parameter, while $36,895 is a point estimate b. Both $43,000 and $36,895 are parameters c. $36,895 is a parameter, while $43,000 is a point estimate d. Both $43,000 and $36,895 are point estimates 5. If a sample of size n = 45 gives the 95% confidence interval 45 < < 65, which of the following is true? a. The 99% confidence interval for would be wider than the one given. b. We would expect a 95% confidence interval for based on a sample of size n = 80 to be wider than the one given. c. A point estimate for is 50. d. The probability that the random variable is between 40 and 50 is 0.95. 6. To test that the population variance is more than 20 at the 0.1 level of significance, we collect a sample of size 25. What is the critical value 2 ? a. 8.907 b. 15.659 c. 27.204 d. 33.196 7. To study a long-distance phone service at a province, a researcher conducts a poll to estimate the percentage of consumers who are satisfied with their long- distance phone service. A previous study suggests that this percentage is about 82%. What is the smallest sample size necessary if he wants to be 95% of confident that his sample percentage is within 3.5 percentage points of the true population value? a. 464 b. 463 c. 462 d. 461 e. None of above 8. In hypothesis testing, a type II error a. is rejecting the null hypothesis when it is actually true b. is rejecting the null hypothesis when it is actually false c. is failing to reject the null hypothesis when it is actually true d. is failing to reject the null hypothesis when it is actually false e. can be any of the above, depending on the situation 9. A population is normally distributed. To test that its population mean is less than 70, we collect a random sample of size 27 with mean 68 and standard deviation 7. What is the value of the critical value at the level of significance 10%? a. -1.31 b. 1.31 c. -1.48 d. 1.48 e. None of the other answers is true. 10. A confidence interval for is given as 50.5 5.8. The value 5.8 is properly called the a.critical region b. level of confidence c. margin of error. d. estimator e. none of above
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