What happens to the power of a hypothesis test if the significance level is decreased without changing the sample size? Explain your answer.

Q: Would an experiment design that would be analyzed with a repeated measures ANOVA be superior or…

A: It is good to use a repeated measures ANOVA when the measures are from the same persons at different…

Q: What does Statistical Significance implies?

A: Practical significance: The practical significance states that even if the treatment tested is…

Q: What does the level of significance r

A: Level of significance: The type I error occurs if “rejecting the null hypothesis if the null…

Q: What’s the difference between statistical significance and practical significance?

A: If the strength of the evidence in our sample has passed your defined threshold of the significance…

Q: Illustrates the effect of  significance level on the power of a two-sample t test?

A: Power of a hypothesis test: The probability of not committing a Type II error is called the power of…

Q: What happens to the power of a hypothesis test if the sample size is increased without changing the…

A: For a fixed significance level, increasing the sample size increase the power of a hypothesis test.…

Q: Discuss the differences and similarities between statistical estimation and statistical hypothesis…

A: The statistical estimation and statistical hypothesis testing are the two different areas of…

Q: What is the difference between a fixed effect factor and a random effect factor?

A: The fixed effect factor is defined as when data has been gathered from all the levels of the factor…

Q: What information do you need to decide on a sample size that will provide adequate statistical…

A: Adequate statistical power is the power of probability with the rejected null hypothesis. Generally,…

Q: Explain why the P-value of a hypothesis test is also referred to as the observed significance level.

A: In this case, one is needed to explain the reason for referring the P-value as the observed…

Q: Describe about the hypothesis testing for population mean.

A: Single mean test: Single mean test is used to compare the mean of a variable in the sample of data…

Q: 1. How to know which statistical test to use for hypothesis testing? Explain.

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is statistical inference ? How do you conduct a comparative experiment ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the difference between the computational formula and the defining formula of a sample…

A: It is an important part of statistics. It is widely used.

Q: What are two reasons that some people in the field believe significance testing should be banned?…

A: Here we want to discuss reasons that some people in the field believe significance testing should be…

Q: . What is the difference between sampling error and sampling bias? Which one is very concerning to…

A: Sampling error is defined as the deviation in the sample values with those of the population. This…

Q: What does it mean that a sample statistic is an unbiased estimator of a population parameter?

A: A statistic is called an unbiased estimator of a population parameter if the mean of the sampling…

Q: What is typically tested when we do hypothesis tests ?  - significance levels  - sample…

A: population parameters

Q: What is the test statistic? What is P-value? Reject or Fail to reject?

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A researcher examines differences in marital satisfaction levels between people of differing Genders…

A: The researcher wants to examine the differences in marital satisfaction levels between people of…

Q: How to compress the word “access” using the statistical method?

A: The word 'access' in statistics actually mean Data Access. That is, this is a tool by which any user…

Q: Define Prerequisites for Significance Testing?

A: The inference method that is used to support the research claim based on the sample data is called…

Q: Show the difference between two approaches to significance testing?

A: The two approaches to significance testing are p-value approach and critical value approach.

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a…

A: Effect on margin of error: If the sample size increases, then the standard error of statistic…

Q: explain why two parameters are used in a two sample test

A: Here in the two parameters we take in two sample t-test because, we take samples from two…

Q: What is the key role of the hypothesized sampling distribution in hypothesis test?

A: The sampling distribution is the distribution of the statistic. It gives all the possible outcomes…

Q: Explain the analysis plan that describes how to use sample data to accept or reject the null…

A: Step 2 Formulate an Analysis Plan: Describe the tests that will be appropriate to use to check…

Q: Explain what statistical significance and effect sizes are and what makes them different.

A: Statistical significance is a determination by an analyst that the results in the data are not…

Q: Explain how to perform a two-sample z-test for the difference between two population proportions.

A:

Q: Why is a repeated measures test more powerful than an independent samples test? ( This question…

A: Here we want to discuss Why is a repeated measurestest more powerful than anindependent samples…

Q: What is the difference between experiment and testing?

A: Let EXP denote experimenting. Let TES denote testing.

Q: What is the mean of the sampling distribution of differences between means when the null hypothesis…

A: In case of difference between means the null hypothesis is that there is no difference between two…

Q: What is statistical significance?

A: Statistical significance:   Statistical significance determines that the results obtained in the…

Q: Explain two reasons why the research hypothesis is not tested directly.

A: the null hypothesis is a neutral statement about a population parameter that is never proved or…

Q: Explain what is a Hypothesis and how can we apply Hypothesis Testing into the Statistical world, any…

A: Hypothesis testing in real life is as straight forward as anything, just identify any real life or…

Q: Explain how sample size can influence the outcome of a hypothesis test.

A: Lets take the example that we are doing Hypothesis test for one mean with sample size n : When the…

Q: Explain how the significance level is related to the size of the test statistic and the probability…

A:

Q: What is the standard error of the sample mean if your sample size is 36? Give your answer to 2…

A: It is given that  Population standard deviation, σ = 4.8 Sample mean, x̅ = 25.9 Sample standard…

Q: Explain the difference between a one-tailed and two-tailed significance test. When is it appropriate…

A: A significance hypothesis test is a very important part in statistics.

Q: Describe how you will be able to compute for observed significance level or p-value of a given data…

A: Please find the explanation below. Thank you

Q: What is Effect of Sample Size on standard error?

A: The standard error is also inversely proportional to the sample size; the larger the sample size,…

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a…

A: Effect on the margin of error: If the sample size decreases, then the standard error of statistic…

Q: Discuss the basic strategy for performing a hypothesis test to compare the means of two populations,…

A: In two sample t test, there are two independent large samples taken from two different populations.