Statistical Inference Assignment Help

Statistical Inference Assignment Help

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Whether you're looking for a reason to trust us or browsing the web to find some probability distribution and statistical inference assignment solutions that can help you learn more, we have free answers to several questions for you.

Statistical Inference and Probability The solutions below answer various probability and inferential statistics questions correctly. Some of them are based on the types of errors in hypothesis testing and correlation coefficients while others are hinged on sample sizes and correlation coefficients.

Answers to the questions approve or reject statements based on their accuracy. All of them are correct.

Q1.1 The dependent variable in a regression analysis must be a continuous variable.

True Q1.2 For a given sample size, the margin of error of an estimate increases with confidence level.

False Q1.3 When assessing the association of a factor X with a disease Y, the relative risk and the odds ratio should be very similar.

True statisticsassignmenthelp.com

Q1.4 When assessing the association of a risk factor X with a disease Y in a population, an odds ratio of 2.0 (95% confidence intervals 1.3 to 2.7) indicates an exposure of factor X is associated with higher odds of outcome Y. True Q1.5 It is appropriate to use the Pearson’s correlation to assess the association of support on secondary use of blood spot cards in medical research (in Likert scale: with 1 represent strongly disagree and 5 represents strongly agree) and age of parents (a continuous variable).

False Q1.6 Both type I and type II errors are reduced by increasing the sample size.

False Q1.7 The 95% confidence interval is wider than the 99% confidence interval.

False Q1.8 All confidence intervals should include zero.

True Q1.9 The area under curve in a standard normal distribution between mean ± 1 standard statisticsassignmenthelp.com

deviation is 34%.

False Q1.10 A regression coefficient ranges from -1.0 to +1.0, with +1 indicates a perfect positive linear relation between 2 variables of interest.

True Q1.11 A useful diagnostic test should have a likelihood ratio closes to 1.0 for both test positive and test negative.

True Q1.12 A useful diagnostic test is characterized by a high sensitivity and a high specificity.

True Q1.13 A funnel plot provides information on the combined result for a meta- analysis.

False Q1.14 A receiver operator characteristic curve describes the characteristics of a binary test.

True Q1.15 In a meta-analysis, I² statistic describes the percentage of variation across studies that is due to heterogeneity rather than chance.

True statisticsassignmenthelp.com

Finding Probabilities Using a Table Suppose the average waiting time at A&E department is 7.5 hours with a standard deviation of 2.0 hours. Assume the waiting time is normally distributed; using a probability table, find the probability that a randomly selected patient in the department will have a waiting time of 12 hours or more?

µ = 7.5, δ = 2.0 P(X>12) = P(x>2.25) = 0.4878 = 2.25 P(3<X<9)

ii. Between 3 to 9 hours? <X< -2.25 < X < 0.75 = 0.5122 – 0.2704 = 0.2418 Conducting a Hypothesis Test A study was carried out to investigate whether LDL cholesterol level at 10 years old was associated with infant feeding during the first 3 months of life (infant formula only or exclusively breastfeeding)

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The mean LDL cholesterol level at 10 years old in children fed on infant formula only The mean LDL cholesterol level at 10 years old in children fed on infant formula only (n=100) was 82.6 mg/dL (SD 25.1 mg/dL) and the exclusively breastfed group (n=100) was 70.6 mg/dL (SD 20.1 mg/dL) respectively.

Assume LDL cholesterol level is normally distributed. The level of significance is set at 0.05. i) Identify the study population.

The infant population who are age 10 or less ii) What are the measurement scales of the 2 variables: “type of feeding” and “LDL cholesterol level”?

LDL cholesterol level- Scale Type of feeding – Nominal iii) Two-sample independent T-test was used to assess the cholesterol level between formula-fed children and statisticsassignmenthelp.com

breastfed children. What is the null hypothesis to test?

Is it a two-tailed test or a one-tailed test?

Null hypothesis: The mean of formula-fed children and breastfed children cholesterol level are the same.

It is a two tailed test Explain type I error. What is the probably of committing type I error in this study?

Type 1 error is also called false positive and it’s the probability of rejecting a true null hypothesis. It can be committed in this study by rejecting the null hypothesis that the means of the cholesterol levels are the same when they are not.

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