5 a) The Hudson Valley Soft Drink Company is experimenting with two different recipes for a new cola. In market test of both recipes, it was found that 85 of 120 consumers rated the first recipe as good or better, whereas 93 of 150 consumers rated the second recipe as good or better. Use a .01 level of significance to test the claim that the proportions of good or better are the same for both recipes. claim null hypothesis.…... alternative hypothesis... Calculator Screen Name... test statistic pvalue/alpha comparison.... decision Conclusion b) Construct a 99% confidence interval for p, – p - Interpret the interval in a complete sentence. Confidence Interval Name_ Interval_ Interpret

5 a) The Hudson Valley Soft Drink Company is experimenting with two different recipes for a new cola. In market test of both recipes, it was found that 85 of 120 consumers rated the first recipe as good or better, whereas 93 of 150 consumers rated the second recipe as good or better. Use a .01 level of significance to test the claim that the proportions of good or better are the same for both recipes. claim null hypothesis.…... alternative hypothesis... Calculator Screen Name... test statistic pvalue/alpha comparison.... decision Conclusion b) Construct a 99% confidence interval for p, – p - Interpret the interval in a complete sentence. Confidence Interval Name_ Interval_ Interpret

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Description: 5 a) The Hudson Valley Soft Drink Company is experimenting with two differentrecipes for a new cola. In market test of both recipes, it was found that 85 of 120consumers rated the first recipe as good or better, whereas 93 of 150 consumers rated 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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4. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
Is there a significant difference in the unemployment rates among Hispanic and white adults in the state of Texas? Based on data collected by the Texas Workforce Commission, 4.6% of 640 randomly selected Hispanic adults are unemployed while 2.8% of 780 randomly selected white adults are unemployed. Does this data provide statistically significant evidence that there is a difference in the unemployment rates between the two groups? a) State the null hypothesis (H0) and the alternative hypothesis (Ha ) for the significance test and the conditions b) assume the conditions are satisfied, identify the test statistic (z or t?) to be used, and show the formula for the test statistic, and enter the appropriate values in the formula. (don’t calculate the test statistic here.) c) Assume that the standard error of the differences in proportions is SE = 0.00995. Using this SE, calculate the value of the test statistic (which you set up in part (b) and find the p-value d) Using a significance…
A machine in a factory must be repaired if it produces more than 10% defectives in a day. A random sample of 100 produced items contains 15 defectives, and the supervisor says that the machine must be repaired. Given the aforementioned information and the hypotheses H0: p ≤ 0.1 and H1: p > 0.1, does the sample support the supervisor's decision at the 0.01 significance level?
1) The manager at Gre3n randomly samples 50 glass juicing bottles of hemp seed smoothies. The manager is concerned that the glass juicing bottles may be filled to an amount different from 24 ounces. a) State suitable null and alternative hypotheses. b) How can the manager make a Type I error? c) How can the manager make a Type II error? d) Will the hypothesis test procedure prove that the glass juicing bottles are filled to an amount different from 24 ounces?
10. The research department at the home office of Superior Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three- year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine and interpret the p- value.
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance. 19. Step 1: Which of the following is the correct set of hypotheses?A. H0: The preferences will not match production (40% Half Pint, 40% XXX, 20% Dark Knight); and H1: The preferences will match production B. H0: \mu_{1}μ1 = \mu_{2}μ2 = \mu_{3}μ3; and H1: At least one of the categories will be different than the others C. H0: The preferences will match production (40% Half Pint, 40% XXX, 20% Dark Knight); and H1: The preferences will not match production 19b. Step 2: Compute the df and locate the…
19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium lagers, the brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. In a marketing test of a sample of 80 consumers, 26 preferred the Half Pint lager, 42 preferred the XXX lager, and 12 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, test whether the production of the premium lagers matches these consumer preferences using a .05 level of significance. 19. Step 3: Compute the test statistic -- Chi-square χ2 = (use 2 decimal places) _____________ Step 4: Decision and Conclusions 19. Step 4: Decision: A. Reject H0 B. Retain H0 19. Step 5: Conclusion: Did the production of the premium lagers match consumer preferences? A. Yes. The observed frequencies did not differ from the expected frequencies. B. No. The observed frequencies differed from the expected frequencies.
The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?
According to Emergency Room Statistics, in any 6 month period, 15.2% of asthmatic children not on inhalers will have an asthmatic complication requiring the emergency room. A pharmaceutical firm has developed a new steroidal inhaler. The company believes that the use of this steroidal inhaler will decrease the percentage of asthmatic children requiring emergency room care for asthmatic complications. Because the FDA requires 2-sided hypothesis tests, the company tested the following claim: In any 6 month period, the percentage of asthmatic children using their steroidal inhaler that require emergency room care for asthmatic complications will not be 15.2%. To test their claim, they took a simple random sample of 260 asthmatic children and had them use a steroidal inhaler for 6 months. Of the 260 children, 60 required emergency room care for asthmatic complications at some time in the 6 month period. (c) What is the critical value which represents a boundary between the rejection region…
Utilizing the previous table: A sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits. Was the null hypothesis rejected or accepted?
To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Two hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.02 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Speeding Tickets Ticketed Not Ticketed Men 19 74 Women 11 96 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of 90 urban residents showed that 12 subscribed, and a random sample of 97 suburban residents showed that 17 subscribed. Does this indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 1% level of significance