A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 70%. A researcherdecides to test whether or not that percentage still stands. He finds that, among the 245 high school seniors in his random sample, 151 believe that "gettingrich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H,.H, :0H, :0(b) Determine the type of test statistic to use.D=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

We have given that p = 70% = 0.70 n = 245x = 151p̂ = x/n = 151/245 = 0.6163 α = 0.01

Answered: A decade-old study found that the…

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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Previously, an organization reported that teenagers spend 8.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 8.3, 8.5, 10.5, 2.9, 6.7, 7.7, 13.8, 7.8, 8.7, 11.8, 12, 6.1, 5.4, 5.8, 8.5, 7.9, 10.1,11.1, 11.6, 12.9, 3.6, 6.4, 11.2 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: ??v H: ? v ? 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. v with By the Central Limit Theorem, we know that the point estimates are Select an answer and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P? v? v = P(| ? ♥| ? v
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.4. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 716.2 with a standard deviation of 81.1. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. Identify the P-value. P-value = (Round to three decimal places as needed.) Help me solve this View an example Get more help . Check answer Clear all Type here to search O H Di 0 $ (?) 4:13 PM 6/18/2022 R T 6 a 96°F Sunny A
A bank wonders if omitting the annual fee for customers who charge at least $4000 per year would increase the amount of credit card usage (i. e. the total amount charged in a year). The bank makes this offer to a random sample of customers that have spent at least $4000. It then compares how much these customers charged this year with how much they charged last year. This data is found on sheet "CC Fees." Is there evidence at a 5% significance level to state that the mean amount increases when the "no-fee" offer was given?
Public Agenda conducted a survey of 1379 parents and 1342 students in grades 6-12 regarding the importance of science and mathematics for success in life after school. 50% of the students thought these skills were essential and 62% of the parents thought these subjects were crucial for success. The two random samples were selected independently of each other. Is there enough evidence to conclude that the proportion of parents who feel science and math are important for success is higher than the proportion of students who feel the same way? Conduct your test with a level of significance of 0.05.
The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car Age (years) Selling Price ($000) 1 11 12.1 2 8 10.5 3 14 5.7 4 17 4.9 5 9 5.0 6 8 13.4 7 10 10.5 8 14 9.0 9 13 9.0 10 17 4.5 11 6 12.5 12 6 11.5 Click here for the Excel Data Filea. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) a= b= Estimate the selling price of an 7-year-old car (in $000). (Round your answer to 3 decimal places.) Interpret the regression equation (in dollars). (Round your answer to the nearest dollar amount.)
If sample data is such that for a one-tailed test of ? you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance? Explain your answer? A. Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance. B. No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance. C. Yes. The P-value for the two-tailed test could be greater than 0.01. D. No. The P-value for the two-tailed test could be greater than 0.01.
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6) Any basketball fan knows that Shaquille O’Neal, one of the NBA’s most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off-season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. Check the conditions of the Central Limit Theorem for this scenario. Calculate the number of failures.

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