Use the given statement to represent a claim. Write its complement and state which is Ho and which is He- Find the complement of the claim. Which is Ho and which is Ha? OA. Ho: 6#7 O B. Ho: 6#7 OC. Ho: 627 He: 627 HE: 6 7 O G. Ho: 6#7 OH. Ho: 0 Ho Calculate Draw Choose the correct answer below. O A. Since the P-value is greater than a, reject the null hypothesis. O B. Since the P-value is less than a, reject the null hypothesis. O C. Since the P-value is greater than a, fail to reject the null hypothesis. O D. Since the P-value is less than a, fail to reject the null hypothesis.Use a t-test to test the claim about the population mean p at the given level of signicance {I using the given sample statistics. Assume the population is normally distributed. Claim: p #24; a: [1.05 Sample statistics: i =23.5, s = 4.5, n =13 What are the null and altemative hypotheses? Choose the correct answer below. 0A. Ho:p#24 O B. Hozp224 Ha: p: 24 Ha: p 24 Ha: [#211 What is the value of the standardized test statistic? The standardized test statistic is . [Round to have decimal places as needed.) What is the Pvalue of the test statistic? Pvalue= {Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. 0 A. Reject Ho. There is enough evidence to support the claim. In a survey of 3397 adults, 1406 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results. A 99% confidence interval for the population proportion is (]]) (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. O A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval. O B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time. O C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.A researcher wishes to estimate. with 99% condence, the population proportion of adults who eat fast food fourto six times per week. Her estimate must be accurate within 5% of the population proportion (a) No preliminary estimate is available. Find the minimum sample size needed (b) Find the minimum sample size needed, using a prior study that found that 34% ot the respondents said they eat fast food four to six times per week. ([2) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 34% of the respondents said they eat fast food four to six times per week? n = (Round up to the nearest whole number as needed.) (c) tow do the results from [a] and (b) compare? 0 A. Having an estimate of the population proportion reduces the minimum sample size needed. 0 B. Having an estimate of the population proportion raises the minimum sample size needed. 0 C. Having an estimate of the population proportion has no eed on the minimum sample size needed. The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 6.6 years. At a = 0.01, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years? Complete parts (a) through (e). 17.4 17.7 20.6 21.7 18.9 13.3 17.4 8.9 22.8 18.3 20.8 22.4 17.5 12.2 15.7 22.5 10.3 19.4 17.4 9.5 18.7 8.9 17.6 21.4 10.4 20.9 18.8 11.5 18.2 12.1 20.8 17.3 (a) Identify the claim and state the null hypothesis and alternative hypothesis. O A. Ho: us 13 (claim) O B. Ho: H = 13 (claim) O C. Ho: H > 13 Ha: HI > 13 Ha: H # 13 Ha: us 13 (claim) O D. Ho: H > 13 (claim) O E. Ho: H 2 13 (claim) OF. Ho: H # 13 (claim) Ha: us 13 Ha: H 1c Q Q Q [4 [3 E t t t 4 tn 0 4 4 4 4 u tn 4 *0\" tI: (c) Find the standardized test statistic. t. The standardized test statistic is t= . (Round to two decimal places as needed ) (d) Decide whether to reject or fail to reject the null hypothesis. V HD because the standardized test statistic V in the rejection region. (e) Interpret the decision in the context oi the original claim. There V enough evidence at the % level of signrlicance to V the claim that the mean amount of carbon monoxide in the air in US. cities is V parts per million