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Chapter 9: Q. 62. (page 584)

Which of the following 95%confidence intervals would lead us to reject H0:p=0.30in favor of Ha:pnotequalto0.30at the 5%significance level?

a. (0.19,0.27)

b.(0.24,0.30)

c. (0.27,0.31)

d. (0.29,0.31)

e. None of these

Short Answer

Expert verified

The required correct option is (a)

The 95%confidence interval to reject the null hypothesis at the significance level is(0.19,0.27)

Step by step solution

01

Given information

H0:p=0.30Ha:pnotequalto0.30伪=5%

02

The objective is to determine the correct option of the 95%confidence intervals to reject the null hypothesis at the significance level 5%

The null hypothesis must be rejected with a 5%significance level in favor of the alternate hypothesis.

As a result, the correct 95%confidence interval is required. Examine all four options for the value 0.30

Three of the four options (b,c,d)have a value of 0.30,indicating that they are incorrect for rejecting the null hypothesis.

Need to choose the option which does not contain the value of 0.30,as the null hypothesis statement is related to H0:p=0.30

As a result, the only option (a)(0.19,0.27)lacks the value 0.30.As a result, we will have the correct confidence interval to reject the given null hypothesis statement.

Therefore, the correct option is(a)

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Most popular questions from this chapter

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