Suppose that we are to conduct the following hypothesis test: H0​:μ=1020H1​:μ>1020​ Suppose that you also know that σ=180, n=90,xˉ=1056, and take α=0.1. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−[infinity],a) is expressed (-infty, a), an answer of the form (b,[infinity]) is expressed (b, infty), and an answer of the form (−[infinity],a)∪(b,[infinity]) is expressed (-infty, a) U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: A. Do Not Reject H0​. B. Reject H1​. C. Do Not Reject H1​. D. Reject H0​. A random sample of 110 observations produced a mean of xˉ=34.4 from a population with a normal distribution and a standard deviation σ=4.89 (a) Find a 99% confidence interval for μ ≤μ≤ (b) Find a 95% confidence interval for μ ≤μ≤ (c) Find a 90\% confidence interval for μ ≤μ≤ Note: You can earn partial credit on this problem. You have attempted this problem 0 times. You have 10 attempts remaining. C. The p-value is D. Your decision for the hypothesis test: A. Do Not Reject H0​. B. Do Not Reject H1​. C. Reject H1​. D. Reject H0​. (