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Chapter 10: Q. 72. (page 672)

Based on the P-value in Exercise 71, which of the following must be true?

a. A 90%confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭Fwill contain 0

b. A 95%confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭Fwill contain 0

c. A 99%confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭Fwill contain 0

d. A 99.9% confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭F will contain 0

Short Answer

Expert verified

The required correct option is(d)

Step by step solution

01

Given information

Given,

P=0.002

02

Explanation

If the P-value is less than the significance level, the null hypothesis is rejected. As a result, we see that we reject the null hypothesis at the significance level0.001, but not at the significance level 0.01,0.05,0.10

If we reject the null hypothesis at the corresponding significance level, the confidence interval will contain zero. The 99.9%confidence interval will contain zero because we reject the null hypothesis at the corresponding significance level of 0.001

Therefore, option(d)is the correct option.

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Which of the following is the standardized test statistic for the hypothesis test ?

  1. localid="1654221307488" t=7.9-92.128andt=7.9-92.128
  2. t=9-7.92.128andt=9-7.92.128
  3. t=7.9-92.128and t=7.9-92.128
  4. localid="1654221494579" t=7.9-92.127andt=7.9-92.127
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a.(43)(0.3)1(0.7)33051526=0.200=20.0%43(0.3)1(0.7)3

b.(43)(0.3)3(0.7)13051526=0.200=20.0%43(0.3)3(0.7)1

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