b. In 2018, a sample of 300 in-store shoppers showed that 44 paid by debit card. The results shown in thetable below were obtained when a sample of 400 in-store shoppers were surveyed in 2019.Year20182019Shoppers SurveyedShoppers Paying byDebit Card44Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased, andconduct the test using a significance level of 0.01. What is your conclusion?300400

The given data is as follows: YearShoppers SurveyedShoppers Paying by Debit Card201830044201940072

Answered: b. In 2018, a sample of 300 in-store…

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 study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 68 dream in black and white, and among 295 people under the age of 25, 15 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. identify the test statistic? identify the p value ? 98% confidenc interaval? reject or not to reject and why?
Past studies have indicated that the percentage of smokers was estimated to be about 30%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2414 people and found that 680 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? Hp: ? v H:? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. Check Answer
1. A company surveyed its employees to determine what the new daily meal allotment dollar amount should be. Of the 159 employees, 94 responded. Pat’s supervisor asked what the recommended dollar amount should be. Pat could take the mean of the 94 responses or calculate a confidence interval about the mean using those 94 responses. Which action of the two (don’t go outside these choices) would give the supervisor a better idea of what the true mean is, and why?
Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,
In 2015, the average duration of long-distance telephone calls from a certain town was 3.9 minutes.A telephone company wants to perform a test to determine whether this average duration of longdistance calls has changed. Fifty calls, originating from the town, was randomly selected and thefollowing summary minutes.∑ ? = 205 ∑(? − ?̅)∑(? − ?̅)2 = 56.43 a) Calculate the sample mean, ?̅. b) Calculate the sample standard deviation c) Using the p value approach at the 1% level of significance, test whether the mean duration oflong-distance calls from the town had increased. d) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town. Answer sub-parts (d)
5. 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 702.9. 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 32 high-income individuals and found the sample mean credit score to be 719.1 with a standard deviation of 80.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H (1) H: μ (2) (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. (3) the null…
Portland State University (PSU) reported that 64% of their students receive financial aid. A PSU administrator feels that their school may have a different proportion compared to all of Oregon schools. A random sample of 409 students in Oregon found that 259 receive financial aid. Test the claim that proportion of students that receive financial aid in Oregon is different than PSU. Use a 1% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer ?v H₁: Select an answer ? ✓ Based on the hypotheses, compute the following: b. Test Statistic = c. p-value = d. Based on the above we choose to Select an answer e. The correct summary would be: Select an answer that the proportion of students that receive financial aid in Oregon is different than the PSU reported value of 64%.
Previously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv 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 t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…
What is the population of interest? And what are the hypotheses?
When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
According to a publication, 12.9% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1378 randomly selected 18 to 25-year-olds revealed that 215 currently use marijuana. At the 2% significance level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 12.9%? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.
Please help. thank you.

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