How would you figure this out! Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level of confidence used toconstruct a confidence interval from sample data. Let a be the level of significance for a two-tailed hypothesis test. The followingstatement applies to hypothesis tests of the mean.For a two-tailed hypothesis test with level of significance a and null hypothesisHo: H = k, we reject Ho whenever k falls outside the c = 1 - a confidence interval forµ based on the sample data. When k falls within the c = 1 - a confidence interval,we do not reject Ho-(A corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters,such as p, µ1 - H2, or P1 - P2, which we will study in later sections.) Whenever the value of k given in the null hypothesis fallsoutside the c = 1 - a confidence interval for the parameter, we reject Ho. For example, consider a two-tailed hypothesis test witha = 0.01 andHo: H = 21H1: µ # 21A random sample of size 31 has a sample mean x = 20 from a population with standard deviation o = 8.(a) What is the value of c = 1 - a?Using the methods of Chapter 7, construct a 1 - a confidence interval for u from the sample data. (Round your answersto two decimal places.)lower limitupper limitWhat is the value of u given in the null hypothesis (i.e., what is k)?k =Is this value in the confidence interval?

Name: How would you figure this out! Is there a relationship between confide
Uploaded: 2024-03-20T06:38:44.000Z
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Description: How would you figure this out! Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level of confidence used toconstruct a confidence interval from sample data. Let a be the level of significance for a tw