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A pizza chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if
A pizza chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its chain. It conducts a telephone poll of 300 randomly selected households in the area and nds that 96 have a favorable view. State the test of hypothesis that is of interest to the pizza chain. E) O A. H0: pssooo and H1: p>5,000 O B. H0:x50.32 and H121t>0.32 O c. H0: 2:55.000 and H1: ac>5,000 O D. H0:1c50.25 and H1:1t>0.25 [b] Since a telephone poll was used, this is a sample. Hence we should use a t-test here. Answer: TRUE or FALSE 0 True 0 False [c] The standard deviation cannot be computed here since we do not know (1. Answer: TRUE or FALSE O True O False Recently, a large academic medical center determined that 8 of 15 employees in a particular position were male, whereas 44% of the employees for this position in the general workforce were male. At the 0.05 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? . . . What are the correct hypotheses to test to determine if the proportion is different? CA. Ho: It = 0.44; H,: It # 0.44 O B. H: It 2 0.44; H,: It 0.44 O D. Ho: It # 0.44; H,: It = 0.44 Calculate the test statistic. ZSTAT (Type an integer or a decimal. Round to two decimal places as needed.)The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,525 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,500 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,525 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach?A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you nd that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 46.5 milligrams. Assume the population is normally distributed and the population standard deviation is 6.8 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). E> (a) Identify Ho and Ha. Choose the correct answer below. OA. H0:p.245 O B. Ho:p.=46.5 Ha:|.l 10 Ha: H 2 10 O C. Ho: H > 10 OD. Ho: H # 10 Ha: HS 10 Ha: H = 10 OE. Ho: H = 10 OF. Ho: H 2 10 Ha: H # 10 Ha: H 24 (claim) Ha: p24 (claim) Haip>24 Ha: p.>24 (b) Find the critical value and identify the rejection region. 20 = D (Round to two decimal places as needed.) Rejection region: z|::l D (c) Find the standardized test statistic. z = D (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho O Fail to reject Ho (e) Interpret the decision in the context of the original claim. At the 8% significance level, there enough evidence to the scientist's claim that the mean nitrogen dioxide level in the city is greater than 24 parts per billion
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