Quiz week 4

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Statistics

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Jan 9, 2024

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n which of the following scenarios does the central limit theorem most likely hold true? a. Researchers are interested in approximating the national average BMI (kg/m2) by surveying 158 participants and requiring that they weigh in and have height measurements taken. b. Researchers are interested in approximating the national average BMI (kg/m2) by surveying 24 participants and requiring that they weigh in and have height measurements taken. c. Researchers are interested in approximating the national average BMI (kg/m2) by surveying 37 participants and requiring that they weigh in and have height measurements taken. d. Researchers are interested in approximating the national average BMI (kg/m2) by surveying 19 participants and requiring that they weigh in and have height measurements taken. Question 2 0.67 / 0.67 pts Researchers are interested in conducted an analysis about the effectiveness of a new investigational drug aimed at increasing overall survival among HIV positive patients co-infected with Hepatitis C. Current national data claims that 5 year survival for patients with HIV and Hepatitis C is 32%. This study contains a _____? a. parameter b. estimator c. forecast

d. interpolation Question 3 0.67 / 0.67 pts After treatment analysis, the research team estimates that 5 year survival among those treated with the new medication is 37%. This study reports a _______? a. parameter b. estimator c. forecast d. interpolation Question 4 0.67 / 0.67 pts What happens to the standard error of an estimate when the sample size in a SRS decreases? a. The standard error gets smaller b. The precision of the estimate increases c. The standard error stays roughly the same

d. The precision of the estimate decreases Question 5 0.67 / 0.67 pts Which of the following requisites for a Z test are unnecessary in formal testing of significance? a. A SRS or reasonable approximation thereof b. A population large enough to approximate normality via the Central Limit Theorem c. A known σ prior to initiation of testing d. A set level for power of a test Question 6 0.67 / 0.67 pts Which of the following statistics is not necessary to know prior to performing a power calculation for a one-sample z test? a. The detectable difference worth measuring b. The false positive rate of the test c. The population standard deviation

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d. The sample size e. The alpha level for confidence Question 7 0.67 / 0.67 pts Which of the following statistics is not necessary to know prior to performing a sample size calculation? a. The population standard deviation b. The set power and alpha level of your test c. The sensitivity of the test d. The detectable difference worth measuring Question 8 0.67 / 0.67 pts Which of the following best describes the correct interpretation of a p value resulting from a statistical test? a. The probability of an event occurring given that the null hypothesis is true b. The probability of an event occurring given that the alternative hypothesis is true c. The likelihood that you will reject the alternative hypothesis

d. The likelihood that your sample calculation captures the true population statistic Question 9 0.67 / 0.67 pts Which of the following statements most adequately summarizes the conclusion statement resulting from a p value of 0.03? a. We fail to reject the null hypothesis at the alpha level of 0.05 b. We reject the null hypothesis at the alpha level of 0.01 c. We fail to reject the null hypothesis at the alpha level of 0.1 d. We reject the null hypothesis at the alpha level of 0.1 Question 10 0.67 / 0.67 pts Which of the following p values can be considered statistically highly significant? a. 0.001 b. 0.01 c. 0.1

d. 0.07 e. A and B Question 11 0.67 / 0.67 pts Which of the following best describes the α level in statistical testing? a. The threshold for significance usually set equal to 0.05 b. The Type II error rate c. Arithmetically equal to 1-(Type II error rate) d. The probability of type I error Question 12 0.67 / 0.67 pts Which of the following best describes the β level in statistical testing? a. The threshold for significance usually set equal to 0.05 b. The Type II error rate c. Arithmetically equal to 1-(Type II error rate)

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d. The probability of type I error Question 13 0.67 / 0.67 pts Which of the following best describes the confidence level in statistical testing? a. The threshold for significance, usually set equal to 0.05 b. The Type II error rate c. Arithmetically equal to 1-(Type I error rate) d. The probability of type I error Question 14 0.67 / 0.67 pts Which of the following accurately represents a Type I error? a. Failing to reject the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.15 at α=0.05. b. Rejecting the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.15 at α=0.05. c. Failing to reject the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.03 at α=0.10

d. Rejecting the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.03 at α=0.10. Question 15 0.67 / 0.67 pts Which of the following accurately represents a Type II error? a. Failing to reject the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.15 at α=0.05. b. Rejecting the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.15 at α=0.05. c. Failing to reject the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.03 at α=0.10 d. Rejecting the Ho that a weight loss program shows no benefit after a test statistic results in a pvalue of 0.03 at α=0.10.

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