In this exercise, a randomization distribution is given for a hypothesis test, and shows what values of the sample statistic are likely to occur if the null hypothesis is true. Several possible values are given for a sample statistic. In each case, indicate whether seeing a sample statistic as extreme as the value given is (i) reasonably likely to occur when the null hypothesis is true, (ii) unusual but might occur occasionally when the null hypothesis is true, or (iii) extremely unlikely to ever occur when the null hypothesis is true. The figure below shows a randomization distribution for a hypothesis test with Ho: P = 0.30.

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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Read the passage of random distribution hypothesis and answer the questions carefully to get the correct answers.

In this exercise, a randomization distribution is given for a hypothesis test, and shows what values of the sample statistic are likely to
occur if the null hypothesis is true. Several possible values are given for a sample statistic. In each case, indicate whether seeing a
sample statistic as extreme as the value given is (i) reasonably likely to occur when the null hypothesis is true, (ii) unusual but might
occur occasionally when the null hypothesis is true, or (iii) extremely unlikely to ever occur when the null hypothesis is true.
The figure below shows a randomization distribution for a hypothesis test with Ho: p = 0.30.
0.02 0.09 0.16 0.23 0.30 0.37 0.44 0.51 0.58
Transcribed Image Text:In this exercise, a randomization distribution is given for a hypothesis test, and shows what values of the sample statistic are likely to occur if the null hypothesis is true. Several possible values are given for a sample statistic. In each case, indicate whether seeing a sample statistic as extreme as the value given is (i) reasonably likely to occur when the null hypothesis is true, (ii) unusual but might occur occasionally when the null hypothesis is true, or (iii) extremely unlikely to ever occur when the null hypothesis is true. The figure below shows a randomization distribution for a hypothesis test with Ho: p = 0.30. 0.02 0.09 0.16 0.23 0.30 0.37 0.44 0.51 0.58
(a) p = 0.6
(i) Reasonably likely to occur when the null hypothesis is true.
(ii) Unusual but might occur occasionally when the null hypothesis is true.
(iii) extremely unlikely to ever occur when the null hypothesis is true.
eTextbook and Media
(b) p = 0.1
(i) Reasonably likely to occur when the null hypothesis is true.
(ii) Unusual but might occur occasionally when the null hypothesis is true.
(iii) extremely unlikely to ever occur when the null hypothesis is true.
Transcribed Image Text:(a) p = 0.6 (i) Reasonably likely to occur when the null hypothesis is true. (ii) Unusual but might occur occasionally when the null hypothesis is true. (iii) extremely unlikely to ever occur when the null hypothesis is true. eTextbook and Media (b) p = 0.1 (i) Reasonably likely to occur when the null hypothesis is true. (ii) Unusual but might occur occasionally when the null hypothesis is true. (iii) extremely unlikely to ever occur when the null hypothesis is true.
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