8. Using Table G, find the critical value(s) for each, show the critical and noncritical regions, and state the appropr null and alternative hypotheses. Use o? = 225. a. a = 0.05, n = 18, right-tailed b. a = 0.10, n = 23, left-tailed C. a = 0.05, n = 15, two-tailed

11. A random sample of 88 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α=0.09​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e).       ​(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.     A. H0​: μ≤280 Ha​: μ>280 ​(claim) Your answer is correct.   B. H0​: μ=280 Ha​: μ>280 ​(claim)   C. H0​: μ=280 ​(claim) Ha​: μ>280   D. H0​: μ<280 Ha​: μ≥280 ​(claim)   E. H0​: μ≥280 ​(claim) Ha​: μ<280   F. H0​: μ≤280 ​(claim) Ha​: μ>280 ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=2.082.08 ​(Round to two decimal places as​ needed.) ​(c) Find the​…

20. Only about 10% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 372 millionaires surveyed, 30 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use     The null and alternative hypotheses would be:  H0:             (please enter a decimal)  H1:          (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is     α Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 10% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. The data suggest the populaton proportion is significantly lower than 10% at αα = 0.05, so there is statistically significant…

You are If a = performing a right-tailed z-test .10, find the critical value, to four decimal places.