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we do not reject Ho A corresponding relationship between confidence intervals and two talled hypothesis...

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we do not reject Ho A corresponding relationship between confidence intervals and two talled hypothesis tests also is valid for other parameters such as p or P P which we will study in later sections Whenever the value of k given in the null hypothesis fails outside the c 1 a confidence interval for the parameter we reject Ho For example consider a two talled hypothesis test with a 0 05 and Ho 21 H 21 A random sample of size 30 has a sample mean x 22 from a population with standard deviation 6 a What is the value of c 1 a 0 95 Using the methods of Chapter 7 construct a 1 a confidence interval for from the sample data Round your answers to two decimal places lower limit 19 11 upper limit 24 89 X X H What is the value of u given in the null hypothesis i e what is k k 21 Is this value in the confidence interval Yes O NO Do we reject or fail to reject H based on this information Fall to reject since 21 is not contained in this interval Fail to reject since 21 is contained in this interval Reject since 21 is not contained in this interval Reject since 21 is contained in this interval X b Using methods of Chapter 8 find the P value for the hypothesis test Round your answer to four decimal places 976

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