Consider the following hypothesis test. Consider the following hypothesis test.Ho: µi – µ2 SHa: µ1 – 42 > 0The following results are for two independent samples taken from the two populations.Sample 1Sample 2ni = 40n2 = 50I1 = 25.2T2 = 22.801 = 5.202 = 6.0a. What is the value of the test statistic (round to 2 decimals)?2.03b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places.c. With a = 0.05, what is your hypothesis testing conclusion?p-value isSelect your answer -Но

We have given that, n1 = 40, n2 = 50 and x̄1 = 25.2, x̄2 = 22.8 and σ1 = 5.2, σ2 = 6.0 Then,…

Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It is commonly held that around 15.7% of American college students regularly use marijuana. A certain school wants to determine if its percentage is higher than the national average. They take a random sample of 100 students and want to use those data to test a hypothesis. What conditions, if any, are not met to be able to run a hypothesis test? O Sample Size Condition O 10% Condition O Randomization Condition O None of these; all conditions for a hypothesis test are met
Detemine the P-value for this hypothesis test.
A box model is used to conduct a hypothesis test for the following scenario: A marketing firm randomly selects 500 households in a town asking about their annual income. They want to test whether the percentage of households in town that have annual income above $100,000 is 50%. The SD of the ticket values in the box assuming the null hypothesis is true is best described as... a. Random and unknown; it must be estimated b. Fixed and unknown; it must be estimated c. Random and known d. Fixed and known
A textbook publisher claims that 75% of college students enrolled in a course that uses their textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 111 students in classes that use a textbook from the textbook publisher and finds the 92 of those students ultimately pass the class. Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?v?v Ha: ? ?v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P(? v ? v = P(?v?v p-value = Step 4: Make a Conclusion About the null hypothesis. Since the p-value = = a, we Select an answer v the null hypothesis. O We cannot…
When conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is true
You conduct a poll of FIU students in order to determine the percentage of students (p) who agree with the statement “Hot-dogs are one of my favorite foods”. In your poll, you find that 80 out of 100 students agree. You conduct a two-sided hypothesis test where H0: p = 0.7, where p is the proportion of students whose favorite food is hot dogs. Which of the following statements are true: I. You reject the null hypothesis when α = 0.05 II. You reject the null hypothesis when α = 0.01 III. The test statistic (Z) equals Z = +1.5 Group of answer choices II only
the parameter value for the null hypothesis is what?
a) The null hypothesis for this test would be: b) The alternative hypothesis? c) What is the value of the test statistic, Z?
For several years, a political party has had 38% support among the population of potential voters. However, the party has recently changed its branding, and the party leadership wishes to know whether support for the party has changed. A random sample of voters is selected, and each person in the sample is asked whether he or she supports the party. Using the results, a hypothesis test is performed in order to find out whether there is convincing evidence of a change in the level of support for the party. A standardized z statistic is used, and a p-value is calculated. The p value is... (be sure to read the options below carefully...) a) the probability that support for the party has changed. b) the probability of getting the z statistic calculated in the study, given that support for the party has not changed. c) the probability of getting a z statistic at least as far from zero as the one in the study, given that support for the party has not changed. d) the probability that…
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below. Student Exam Score Before the Course Exam Score After the Course 1 720 700 2 740 770 3 900 950 4 700 710 5 500 580 6 840 900 7 820 840 8 640 650 Use an appropriate hypothesis test, at 0.05 level of significance, to determine whether there is evidence of a difference between before and after scores of the students. What assumption is necessary to perform the hypothesis test in (a)? Construct a 95% confidence interval estimate of the mean difference in before and after scores. Interpret the interval. What is your decision based on this confidence interval estimate?
While testing a hypothesis, we can do either Type I error, or Type II error, but not both of them. Select one: a. True b. False
A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p selected customers and recorded that 45 of them use daily vitamin supplements. = 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.

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