The board of directors for Procter and Gamble is concerned that only 19% of the people who use toothpastebuy Crest toothpaste. A marketing director suggests that the company invest in a new marketing campaignwhich will include advertisements and new labeling for the toothpaste. The research department conductsproduct trials in test markets for one month to determine if the market share increases with new labels.Write the company's null and alternative hypotheses.Ho:In this context describe a Type I error and the impact such an error would have on the company.O Rejecting the null hypothesis when in fact it is trueO Failing to reject the null hypothesis when in fact it is falseIn this context describe a Type Il error and the impact such an error would have on the company.O Rejecting the null hypothesis when in fact it is trueO Failing to reject the null hypothesis when in fact it is falseBased on the data they collected during the trial the research department found that a 96% confidenceinterval for the proportion of all consumers who might buy Crest toothpaste was (0.18, 0.27). Whatconclusion should the company reach about the new marketing campaign? Explain.O Since 0.19 is in the interval, we don't have enough evidence to reject the null hypothesis.O Since 0.19 is in the interval, we do have enough evidence to reject the null hypothesis.What level of significance did management use?a =Describe to management one consequence of using 5% alpha level of significance instead.O Raises the probability of a Type I errorO Raises the probability of a Type Il errorDescribe to management another consequence of using a 5% alpha level of significance instead.O Lowers the probability of a Type I errorLowers the probability of a Type II error

We have given that Population proportion p=19%=0.19 Note:-According to Bartleby Expert guideline,…

Answered: The board of directors for Procter 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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A financial analyst is studying how they can reduce credit card debt for their clients. It is known that the average credit card debt per adult is 6 thousand dollars. After working with their clients on debt reducing strategies, the financial analyst believes the average amount of their credit card debt has decreased. What are the hypotheses? Fill in the blanks with the correct symbol (=,≠,<, or >) to represent the correct hypothesis.
Because the correlation coefficient is positive/negative and the absolute value of the correlation coefficient, enter your response here #, is greater/not greater than the critical value for this data set,enter your response here #, no/a negative/a positive linear relation exists between the weight of a car and its miles per gallon. Critical value table 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361
A company that has a 10% market share (they sell their product to 10% of all potential buyers) launches a marketing campaign. At the end of the campaign period, the company conducts a survey in order to assess whether its market share has increased. The result of the survey issued to 500 customers was 12.5%.a. Write the null and alternative hypotheses using proper notation? b. What is the value of the test statistic? Show your work.c. What is the associated P-value? d. State your conclusion using ΅ = 0.05. e. What would be the potential Type I and Type II errors in this problem? Explain these possible errors in context.
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A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 097%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H and the alternative hypathesis A that we would use for this test. H 0 H:0 ?
D Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. Ho : P1 – p2- Select your answer - Ha : Pi - P2 - Select your answer - b. Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. p-value = %3D At a = 0.05 level of significance, what is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their financial security is more than fair. II.…
9B: A publisher reports that 36% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually less than the reported percentage. A random sample of 320 found that 30% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim? Step 5: Identify the value of the level of significance. Step 6: Make the decision to reject or fail to reject the null hypothesis. Step 7:
A local teacher wants to see if teaching writing in different ways impacts student learning. She has two classes of similar characteristics. In one class, she will use Teaching Strategy A and in the other class she will use Teaching Strategy B. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the teacher make about the hypothesis?
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An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 51% of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal. Formulate the null and alternative hypotheses. Choose the correct answer below. .... A. Ho:p=0.5 O A. O B. Ho: p=0.5 Ha:p#0.5 Ha:p0.5 Find the test statistic. (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = |(Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. B. Do not reject Ho. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. C.…
The Gallup Poll asked 1015 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 477 said they supported such a tax. Does the survey provide convincing evidence that less than 42% of U.S. adults favor an internet sales tax? Use the 0.05 level of significance. 1. STATE THE NULL AND ALTERNATIVE HYPOTHESIS: 2. T STATISTIC/ P VALUE 3.REJECT OR FAIL THE NULL HYPOTHESIS 4. IS THE CLAIM SUPPORTED AT THE 0.05 LEVEL OF SIGNIFICANCE?

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