The American Automobile Association claims that the average daily costfor meals and lodging for vacationing in Texas is larger than the average costs for vacationing inNorth Carolina. The table below shows the result of a random survey of vacationers in each state.The two samples are independent.TexasNorth Carolinanį = 35n2 = 50%3D*1 = 218208$1 = 2882 = 15(a) Set up the correct hypotheses to test the claim.(b) Find the standardized test statistic.(c) Find the rejection region and state your conclusion at a0.01

Given that: Texas North Carolina n1=35 n2=50 x¯1=218 x¯2=208 s1=28 s2=15

Answered: The American Automobile Association…

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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Another organization wants to perform a similar analysis on Department A’s and Department B’s performance evaluation scores. What is the Null Hypothesis (Ho:)? What is the Research Question or Alternative Hypothesis (Ha:)? Perform the t-Test and show the results (two sample assume equal variance). Dept A Dept B 3.1 3.1 3.6 3.1 3.2 3.2 3.5 3.4 3.1 3.2 2.9 3.3 3.5 3.1 3.6 2.9 3.7 3.1 3.5 3.6 2.9 3.2 3.2 3.3 3.6 3.4 3.5 3.3 3.4 3.1 2.9 2.8 3.4 2.9 3.3 3.1 3.5 3.2 3.4 3.1
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
If the level of significance in a hypothesis test is 1 %, what would the p-value have to be for failing to reject the null hypothesis? a. equal to 0.005 b. less than .01 c. greater than .01
The company that you work for requires that less than 3% (.03) of the microchips that you deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You collect a simple random sample of 430 microchips and find that 12 of them are defective. Conduct a hypothesis test with a a =.05 level of significance to determine if less than 3% of the microchips are defective. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State the conclusion for the test.
A sample is selected from a normal population, and resulting data are as follows: 45.2, 51.5, 49.4, 48.9, 52.4, 40.0 Does this data suggest that the population mean is greater than 50? Use a = 0.05. a. State the appropriate hypotheses.. b. Calculate the value of the test statistic. c. Determine the rejection region. d. What is your conclusion? Interpret your conclusion.
In a volunteer group, adults 21 and older volunteer between 1 and 9 hours each week. The program includes people from a community college, a four-year college, and non-students. The leader of the group is interested in seeing if there is a relationship between the type of volunteer and the number of hours volunteered. She collected the following data below. Perform a hypothesis test to help her at 0.01 level of significance. 1-3 hours 4-6 hours 7-9 hours Community College Student 97 100 64 Four-Year College Student 99 128 55 Non-Student 99 138 41 What are the expected numbers? (round to 3 decimal places) 1-3 hours 4-6 hours 7-9 hours Community College Student Four-Year College Student Non-Student The hypotheses are H0:H0: The number of hours volunteered is independent of the type of volunteer. HA:HA: The number of hours volunteered is dependent of the type of volunteer.(claim) Since αα = 0.01 the critical value is 13.277 The test…
2
A researcher wants to know if there is a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year. To test this research question, sample students attending a large university have been randomly selected. Using the sample information suggested below, conduct a hypothesis test at 0.05 significance level. Sample 1 (Liberal Arts majors) Sample 2 (Other majors) = 16.2 = 13.7 s1 = 2.3 s2 = 9.0 N1 = 236 N2 = 321 - What is the critical Z-score? - Compute the test statistic value (i.e., calculated or obtained Z-score). -Determine if the null hypothesis is rejected AND state what it means.
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A newspaper publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential adveriser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim? (Choose A or B) A. There is sufficient evidence at the 0.02 level of significance that the percentage is over 47%. B. There is not sufficient evidence at the 0.02 level of significance to say that the percentage is over 47%.
Answer choices for the blanks : 1. Contains or does not contain 2. Null or alternative 3. Sufficient or insufficient 4. Reject or support 5.insufficient or sufficient 6. Reject or support
Find test value and p-score.

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