B) using methods of this chapter, find the p-value for the hypothesis test. round your answer to four decimal places. can you please send the answer a little bit faster ?

Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level of confidence used to construct a confidence interval from sample data Let a be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean. For a two-tailed hypothesis test with level of significance a and null hypothesis Ho: H = k, we reject H whenever k falls outside the c = 1 - a confidence interval for u 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, M, - u,, or p, - P2, which we will st later.) Whenever the value of k given in the null hypothesis falls outside the = 1 - a confidence interval for the parameter, we reject H . For example, consider a two-tailed hypothesis test with a = 0.01 and H: U = 20 H1: H = 20 A random sample of size 38 has a sample mean x = 23 from a population with standard deviation o = 6. (a) What is the value of c = 1 - a? Construct a 1 - a confidence interval for u from the sample data. (Round your answers to two decimal places.) lower limit upper limit What is the value of u given in the null hypothesis (i.e.; what is k)? k = Is this value in the confidence interval? Yes O No