Explain the basic idea for performing a hypothesis test, based on independent samples, to compare two population proportions.

Q: What are the sample space of the experiment?

A: Here use definition of sample space

Q: What is the size of the sample space when two 10-sided dice are rolled?

A:

Q: what is atypical sample

A: Atypical sample means something Unusual

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: Explain the logic of hypothesis testing, including the concepts of the null hypothesis, the sampling…

A:

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: Briefly explain when a one-way ANOVA procedure is used to make a test of hypothesis?

A: One-Way ANOVA is used to compares the means of two or more independent groups in order to determine…

Q: Discuss the advantage of the independent sample test compared with the advantage of the one sample…

A: In hypothesis testing we test the hypothesis regarding the population parameter.

Q: Explain Prerequisites of Sampling Distribution of the Mean?

A: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken from a…

Q: isn't the sample size should be 35, not 12?

A: We have given that the information presented by the tutorial school related to the IELTS  mock…

Q: Does the sample size ? affect the mean of all possible sample means? Explain your answer.

A: According to central limit theorem, for large sample (>30) or if the population follows normal…

Q: A significance level for a hypothesis test is given as ∝ = .05. Interpret this value

A:

Q: Briefly explain the use of sampling distribution of sample statistic in hypothesis testing.

A: Use of sampling distribution (SD) of sample statistic (SS) in hypothesis testing

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: 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 are the requirements of testing a claim about a population proportion using a formal method of…

A: Note: Hey there! Thank you for the question. We have discussed the assumptions and conditions…

Q: What are some examples of when to use pooled sample testing?

A: We say that samples are pooled when units that might be measured separately are processed together…

Q: Explain ways in which we use the independent sample t-test vs. paired sample t-test?

A: Independent sample t-test vs. paired sample t-test

Q: Explain Misconceptions about significance testing?

A: Misconceptions about significance testing is, The probability value is defined as the probability…

Q: Discuss what is the relationship between sample size and sampling error?

A:

Q: what are the first, second, and third quartiles?

A: 25) Here , we want to find the first , second and third quartile For that we use the R-software or…

Q: Explain in your own words: What is sampling error? What is a representative random sample?

A: we explain in the following.

Q: Distinguish between a distribution of sample means and a distribution of sample proportions.

A: Distribution of sample means and sample proportions are obtained.

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: whats a statistical hypothesis?

A: Hypothesis: Hypothesis is an assumption about the parameter of the population which will be made on…

Q: In hypothesis testing, what is the level of significance?

A:

Q: Explain the concept of Missing Data and Sample Selection?

A:

Q: use a sample to draw an inference about a population

A: The population is a set of all the possible observations about a specified characteristic of…

Q: What must be true about the sampling method and the values of p, q, and n in order to construct a…

A: For constructing Confidence interval for proportion, following assumptions need to be care

Q: What are the risks of sampling errors?

A: The errors involved in the collection, processing, and analysis of a data may be classified as:…

Q: Why do you need to know the sampling distribution of the difference between two sample means in…

A: In this case, we need to find the reason for identifying the sampling distribution of the difference…

Q: What happens to the power of a hypothesis test if the significance level is decreased without…

A: Solution: It is required to mention what happens to the power of a hypothesis test if the…

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

A:

Q: If you are running a hypothesis test and increase your sample size, what will happen to your Type I…

A: Higher sample makes higher power of test And smaller sample makes small the power of test

Q: What is the difference between experiment and testing?

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

Q: Why hypothesis testing is very important

A:

Q: Does having a non-significant P-value means that the means of the sample will be the same? explain

A: The hypotheses for the means is constructed as: H0: The means of the sample will be the same. H1:…

Q: Explain the concept of sampling distribution, standard errors, and statistical inference?

A: Infer means conclusions. Statistical inference draws conclusion about a given population or other…

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: How does the concept of probability and the distribution of sample means relate to the testing of a…

A: We know that the sample mean distribution will be either normal distribution or T distribution. If…

Q: What is Sample Mean?

A: A statistical population is a set of entities from which statistical inferences are to be drawn,…

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: what are the issues a decision maker should consider when determining the significance level to use…

A: The level of significance is also denoted as alpha (α) which can be defined as the probability of…

Q: The greater the p-value for a two-sample test of population means, the greater the evidence that…

A: Standard Decision Rule in hypothesis testing: If the p value is greater than level of significance,…

Q: What is one of the distinctions between a population parameter and a sample statistic?

A: The population parameter is the measure based on whole population. And the statistic is a measure…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.