Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about $50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the appropriateness of the overweight fees. English Air charges different amounts for overweight items on flights to the U.S. and Canada than it does on flights within Europe. Recently, a random sample of 277 items checked on English Air flights to the U.S. and Canada contained 33 overweight items, and an independent, random sample of 270 items checked on English Air flights within Europe contained 49 overweight items. Based on these samples, can we conclude, at the 0.10 level of significance, that there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight ($ p_1 $) and the proportion of all items on English Air flights within Europe which are overweight ($ p_2 $)?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)**(a)** State the null hypothesis $ H_0 $ and the alternative hypothesis $ H_1 $.\[H_0 : []\]\[H_1 : []\]**(b)** Determine the type of test statistic to use.(Choose one) ▼**(c)** Find the value of the test statistic. (Round to three or more decimal places.)\[[]\]**(d)** Find the $ p $-value. (Round to three or more decimal places.)\[[]\]**(e)** Can we conclude that the proportion of items which are overweight is different between the two types of English Air flights?⭘ Yes⭘ No**Diagram Explanation:**The diagram provides a selection of symbols and inequalities likely used for statistical hypothesis testing. The symbols include:- $ \mu $ (population mean)- $ \sigma $ (population standard deviation)- $ p $ (population proportion)- $ \bar{x} $ (sample mean)- $ s $ (sample standard deviation)- $ \hat{p} $ (

b) Here we use z test for two proportions Therefore, the test statistic that we use is Z

Answered: (a) State the null hypothesis Ho and…

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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Using an ANOVA TABLE, (i) Calculate the test statistic (ii) Find P-value or rejection region. Use alpha = 0.05 (iii) State your conclusion in the context of this problem. Do we reject Ho?
Need Help with test statistic and p-value
Test the claim that the proportion of people who own cats is larger than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p=0.5 H1:p>0.5 The test is right tailed Based on a sample of 100 people, 51% owned catsThe p-value is: (to 2 decimals)
Do men and women have similar college majors? Researchers ask a group of college students about their majors. They also group the students by their gender. They want to determine if the distribution of college majors is the same for men and women. A chi-square Homogeneity Test at the 1% significance level is performed. (a) The null and alternative hypotheses are: H0: The distribution of the two populations are the same. Ha: The distribution of the two populations are not the same. (b) χ20=16.0 (c) χ20.01=9.210 (d) What conclusions can be made? Select all that apply. Select all that apply: We should reject H0. We should not reject H0. At the 1% significance level, there is sufficient evidence to conclude that the distributions of the two populations are not the same. At the 1% significance level, there is not sufficient evidence to conclude that the distributions of the two populations are not the same.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 45 46 59 54 49 60 54 50 50 45 51 55 (a) Determine the null and alternative hypotheses? Ho: Select an answer hours H1: Select an answer hours (b) Determine the test statistic ? v (c) Determine the p-value. p-value =
In this study, we are interested to compare the self-reported pain level of the patients before and after the clown performance. The variable of interest is the reduced level of pain among the patients which is in the ordinal level of measurement. The random sample of patients illustrates the use of related samples. The appropriate set of hypotheses for the given objective is Ho: __________________ and Ha: ________________. Also, the appropriate test procedure to analyze the given data is the __________________. Based on the p-value equal to 0.004107, it can be said that we have no sufficient evidence to say that the intervention didn’t reduced the level of pain among the patients. Suppose you are a hospital administrator and you are looking for ways to improve patient care, what actions can you take based on the results of the study? It is good to have interventions inside the hospital because it can make the patients feel lighter and it can boost their…
In 1992 a national vital statistics report indicated that about 2.3% of all births produced twins. Is the rate of twin births the same among very young mothers? Data from a large city hospital found only 7 sets of twins were born to 455 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed. Are the assumptions and the conditions to perform a one-proportion z-test met? ... No Yes State the null and alternative hypotheses. Choose the correct answer below. A. Ho: p=0.023 HA: P >0.023 B. Ho: p=0.023 HA: P = 0.023 C. Ho: p=0.023 HA: P<0.023 D. The assumptions and conditions are not met, so the test cannot proceed. Determine the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Z= (Round to two decimal places as needed.) OB. The assumptions and conditions are not met, so the test cannot proceed.
You will conduct a post hoc test when ______. a. you suspect one of your sample means is different from other samples b. you suspect two of your sample means are different from each other c. your main effect is significant. d. your main effect is not significant
HW11Q9
Test the claim that the proportion of men who own cats is smaller than 60% at the .01 significance level. Based on a sample of 100 people, 59% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)
(a) Find the test statistic. (b) Find the standardized test statistic.
You are conducting a test of independence for the claim that two different categories are independent. Here is the sample data. Category A B The expected observations for this table would be Category с D A B C D 43 77 19 39 The resulting Category A B (O - E)² E C are: D What is the chi-square test-statistic for this data? x² = What is the P-Value for this test-statistic? P-Value = What conclusion can you make about the hypothesis? O No, the proportions of each characteristic are not the same in each population. Yes, the proportions of each characteristic are the same in each population. Report all answers accurate to three decimal places. Report all answers accurate to three decimal places.

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