A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 patients was given treatment A, and 72 of them improved their condition. The second group of 125 patients was given treatment B, and 60 of them improved their condition. Perform a hypothesis test to investigate whether there is evidence of a difference between the two treatments. What is the p-value of the test?

Q: ) What conclusions can be drawn from this hypothesis test?

A: a) H0:μ=15.7VersusHa:μ<15.7   Level of significance valueα=0.05 Test statistic value of T = x-μsn…

Q: What is the P-value of a hypothesis test? When does it provide evidence against the null hypothesis?

A: Introduction: P-value: The P-value can be defined as the probability of obtaining a sample result,…

Q: A politician believes that 60% of constituents are in favor of a particular issue. She takes a…

A: Null hypothesis:A statistical hypothesis which is assumed and whose validity is tested for possible…

Q: What are the two kids of errors we can make in hypothesis testing?

A: The two kinds of errors are 1)Type 1  2)Type 2  Type 1 Error: It is referred as False Positives. It…

Q: For a left tail hypothesis test with a sample size of 10 and a .10 level of significance, the…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: State the general steps of the P-value approach to hypothesis testing.

A:

Q: The p-value for a hypothesis test turns out to be 0.08621. At a 5% level of significance, what is…

A: Decision rule : Reject H0 if P-value  <  α

Q: Last year, 46% of business owners gave a holiday gift to their employees. A survey of business…

A: Given: population proportion(p)=0.46sample proportion(p^)=0.35sample size(n)=60

Q: The mathematics department at one university reports that the failure rate for College Algebra is no…

A: 2 types of errors. Type 1: Rejecting null hypothesis when it is True Type 2: Fail to reject null…

Q: if the null hypothesis should be rejected and researchers reject it they have committed.? which of…

A: Type I error: The type I error is the rejection of the null hypothesis when it is actually true.…

Q: The p-value for a hypothesis test turns out to be 0.03197. At a 9% level of significance, what is…

A: The decision rule of the hypothesis testing is as follows: If p-value ≤ α, then reject the null…

Q: If the P-value of a hypothesis test is 0.103, what would your decision be when the level of…

A: Given If the P-value of a hypothesis test is 0.103, what would your decision be when the level of…

Q: Can you give me an example on how to write the null and alternative hypotheses and determine if each…

A: Basically, null hypothesis is the statement of a population parameter such as mean, proportion,…

Q: Why can't a researcher ever "accept the null" or "accept the research hypothesis"?

A: because it work like that. if something is not proven wrong by the evidence (data)  that does not…

Q: According to a recent​ census,16% of the people in the United States are of Hispanic origin. One…

A: Hypotheses:Denote P as the true population proportion of people in United States of Hispanic…

Q: When do we use alpha and beta in hypothesis testing?

A: Basics: Alpha is the probability of  making  Type I error in hypothesis test . i.e incorrectly…

Q: A politician believes that 60% of constituents are in favor of a particular issue. She takes a…

A: Null hypothesis:A statistical hypothesis which is assumed and whose validity is tested for possible…

Q: If the p-value is greater than 0.5, then you have proven the null hypothesis is true. True or False

A: We have to find given statement is true or false..

Q: If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make…

A: Solution: 4. From the given information, ZSTAT = –0.45 and the test is two-tailed.

Q: Last year, 40% of business owners gave a holiday gift to their employees. A survey of business…

A: a)From the given information, the sample proportion p hat is 0.30 and sample size (n) is 80.

Q: L12Q2.The average scores of students in the final exam in two neighboring colleges are equal. If a…

A: Testing of hypothesis is a rule which, when the sample values have been obtained, leads to a…

Q: What is the difference between failing to reject the null hypothesis and having evidence to support…

A: Given that  What is the difference between failing to reject the null hypothesis and having evidence…

Q: The currently used medicine is successful for 26% of patients. A new experimental medication is…

A: sample size(n)=500no.of patients successful for new experimental medication (X)=140sample proportion…

Q: 1. why do two samples need to be independent when doing a hypothesis test ? 2.  Could you do a…

A: Part 1: Independent samples are samples drawn from same population or different population that are…

Q: you have been hired by the San Antonio Spurs to analyze the 2005-2006 season. For each of the 33-36…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make…

A: Alpha = 0.05 Two tailed test Zstat = 1.2

Q: what is the zobserved value for the hypothesis test?

A: It was stated that I believe that caffeine can improve the capacity of short-term memory (STM). It…

Q: If you make a Type 1 decision error in your hypothesis test, what has happened?

A: Type 1 error happen when  rejecting null hypothesis when it is true

Q: If you use a 0.05 level of significance in a​ two-tail hypothesis​ test, what decision will you make…

A: Given  ZSTAT=-1.52, ɑ=0.05 Two tailed hypothesis

Q: What are the two decisions that you can make from performing a hypothesis test?

A: here use basic of hypothesis testing ,  In hypothesis Testing the result is either in favor of Claim…

Q: health provider saw that 48% of their members received their flu shot in recent years. The health…

A: Hypothesis testing plays a major role in research and development. To diagnose the underlying cause…

Q: If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule,…

A: level of significance  = 0.10 Two-tail hypothesis test

Q: If you use a 0.05 level of significance in a two tail hypothesis test, what decision will you make…

A: According to the provided information, level of significance  (α) = 0.05 z = 2.21 The z-critical…

Q: 2. In the recent Census, three percent of the U.S. population reported being of two or more races.…

A:

Q: A larger treatment effect means the hypothesis test has more power. True or False?

A: Power of the test explains the chance of not happening type II error. It is the correct rejection of…

Q: In the recent census, three percent of the U.S. population reported being two or more races.…

A: From the given information, Consider, p1= The Proportion of North Dakotans who are reported being of…

Q: Last year, 44% of business owners gave a holiday gift to their employees. A survey of business…

A: Given Information: Last year, 44% of business owners gave a holiday gift to their employees i.e., π0…

Q: A researcher would like to test the claim that the proportion of middle-aged smokers with a lung…

A: Claim of the study;A researcher would like to test the claim that the proportion of middle-aged…

Q: The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample…

A: Decision rule:Denote z as test statistic value and z(α/2) as the critical value.Decision rule based…

Q: An advertisement firm is making a new marketing strategy and selling rates are being considered.…

A: There are two independent samples which are existing strategy and new strategy. Both samples follows…

Q: The p-value for a hypothesis test turns out to be 0.0985. At a 8% level of significance, what is the…

A: Decision rule:

Q: An opinion poll was conducted to examine people's satisfaction with the work of civil defense during…

A: Given information- We have given a two-tailed hypothesis test. H0 : p = 0,85 H1 : p ≠ 0,85 Sample…

Q: When asked what it means for the result of a hypothesis test to be practically significant (or…

A:

Q: If a researcher rejects the null hypothesis when conducting a hypothesis test, it means that the…

A: Alternate hypothesis is the claim made by researcher   If the researcher rejects the null…

Q: develop a research question that can be addressed with the dependent-samples t test, making sure to…

A:

Q: Historically, 72% of students who take the PREPWell SAT preparation course improve their scores…

A:

Q: The Center for the Study of Violence wants to determine whether a conflict-resolution program in a…

A: Given: Students Before Participating After Participating 1 10 8 2 3 3 3 4 1 4 8 5 5 8…

Q: If I conduct a hypothesis testing with type 1 error set at 0.5 and a resulting p-value of 0.3 what…

A: Solution: type 1 error set at 0.5   p-value of 0.3  To find: conclusion of the test

Q: The test statistic of z=0.74 is obtained when testing the claim that p≤0.3.   a. Identify the…

A: