F25 In 201347% indicated that 31 of business owners gave a holiday gift to their employees. A 2014 survey of 33 business owners % plan to provide a holiday gift to their employees. Is there reason to believe the proportion , of business owners providing gifts has decreased at a-0.005? (See exercise 40 on page 418 of your textbook for a similar problem.) For the hypothesis stated above... Question 1What is/are the critical value(s)? Question 2 What is the test statistic? Question 3 What is the conclusion?
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- Q.5.2 The CEO of a large financial institution claims that, on average, their clientsinvest more than R150 000 per year in a particular portfolio. Test this claim atthe 10% significance level if it was found that a sample of 25 clients invested anaverage of R145 000 in the portfolio over the last year, with a standarddeviation of R15 000.A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at most 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At α = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582 What is the critical value of the t?A nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusion
- A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is less than 0.20. If the z− test statistic was calculated as z=−2.11, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.005. Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. powered by Move the blue dot to choose the appropriate test α=0.01 α=0.025 α=0.05 α=0.1 Significance level = 0.01 Select the correct answer below: There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.…A researcher is using a two-tailed hypothesis test with α = .05 to evaluate the effect of a treatment. If the boundaries for the critical region are t = ± 2.080, then how many individuals are in the sample?In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. Suppose a follow-up survey shows that 24 of 200 persons now rate Pepsi as being "concerned with my health." Calculate the z statistic. (Round your answer to 3 decimal places.) zcalc At α = .05, would a follow-up survey showing that 24 of 200 persons now rate Pepsi as being “concerned with my health” provide sufficient evidence that the percentage has increased? multiple choice No Yes
- In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. Suppose a follow-up survey shows that 15 of 100 persons now rate Pepsi as being "concerned with my health." Calculate the z statistic. (Round your answer to 3 decimal places.) At α = .05, would a follow-up survey showing that 15 of 100 persons now rate Pepsi as being “concerned with my health” provide sufficient evidence that the percentage has increased? multiple choice Yes NoA washing machine manufacturer advertises that the median life of the machines is at least 8 years. A consumer advocacy group located 20 of these machines and found that 12 of them actually lasted less than 8 years, with none of them lasting exactly 8 years. At α α =0.05, test the claim that the median life is less than 8 hours. A. What is the test statistic? B. What is the critical value? C. What is the decision?What is the t critical value for a two-tailed test, with α = 0.05 and n = 10
- Suppose researchers draw a sample of 300 breakfast sandwiches from a certain fast-food restaurant, and carry out a t test of the null hypothesis that the true mean sodium content is 1000, against the alternative hypothesis that it is greater than 1000. They find a negative value of the test statistic, and a p-value of 0.85. What would the p-value have been had they used a two-sided alternative hypothesis? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)According to the American Pet Products Manufacturers Association, cat owners spend an average of $179 annually in routine veterinary visits. A random sample of local cat owners revealed that ten randomly selected owners spent an average of $205 with s = $26. Is there a significant statistical difference at α = 0.01?The test statics isA medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.