A corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters, such as p, ?1 − ?2, or p1 − p2, which we will study in later sections.) Whenever the value of k given in the null hypothesis falls outside the c = 1 – α confidence interval for the parameter, we reject H0. For example, consider a two-tailed hypothesis test with ? = 0.01 and H0: ? = 21 H1: ? ≠ 21 A random sample of size 30 has a sample mean x = 22 from a population with standard deviation ? = 3. (a) What is the value of c = 1 − ??   Using the methods of Chapter 7, construct a 1 − ? confidence interval for ? from the sample data. (Round your answers to two decimal places.) lower limit       upper limit

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A corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters, such as p, ?1 − ?2, or p1 − p2, which we will study in later sections.) Whenever the value of k given in the null hypothesis falls outside the c = 1 – α confidence interval for the parameter, we reject H0. For example, consider a two-tailed hypothesis test with ? = 0.01 and

H0: ? = 21
H1: ? ≠ 21

A random sample of size 30 has a sample mean x = 22 from a population with standard deviation ? = 3.

(a) What is the value of c = 1 − ??
 

Using the methods of Chapter 7, construct a 1 − ? confidence interval for ? from the sample data. (Round your answers to two decimal places.)
lower limit      
upper limit      
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