Q. 62. Which of the following 95%confid... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 9: Q. 62. (page 584)

Which of the following $95 %$ confidence intervals would lead us to reject $H_{0} : p = 0.30$ in favor of $H_{a} : p n o t e q u a l t o 0.30$ at 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

Given information

$H_{0} : p = 0.30 H_{a} : p n o t e q u a l t o 0.30 伪 = 5 %$

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 $H_{0} : p = 0.30$

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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91影视

Which of the following $95 %$ confidence intervals would lead us to reject $H_{0} : p = 0.30$ in favor of $H_{a} : p n o t e q u a l t o 0.30$ at 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

Step by step solution

Given information

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

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91影视

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

Step by step solution

Given information

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Geometry

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Which of the following $95 %$ confidence intervals would lead us to reject $H_{0} : p = 0.30$ in favor of $H_{a} : p n o t e q u a l t o 0.30$ at 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