You may need to use the appropriate technology to answer this question. During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and independents 46 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC 0.29, PCBS 0.28, PNBC 0.25, PIND = 0.18 H: The proportions are not PABC = 0.29, PCBs = 0.28, PNBC = 0.25, PIND = 0.18. O Ho: PABC = 0.29, Pcas = 0.28, PNBC = 0.25, PIND = 0.18 H: PABC = 0.29, PcBs = 0.28, PNBc * 0.25, PIND = 0.18 O Ho: The proportions are not pPARC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18. H: PABC= 0.29, PcBs = 0.28, PNBC = 0.25, PIND- 0.18 O Ho: PABC * 0.29, Pces * 0.28, PNBC * 0.25, PIND = 0.18 H: PABC = 0.29, Pces = 0.28, PNBC = 0.25, PIND = 0.18 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There has been a significant change in the viewing audience proportions. O Reject Ho. There has been a significant change in the viewing audience proportions. O Do not reject Hg. There has not been a significant change in the viewing audience proportions. O Reject Ho. There has not been a significant change in the viewing audience proportions.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Step 1Introduction

Chi square χ² test : Chi square test is used to test whether the distributions of categorical variables differ from each or not and it is defined as

χ² $= \sum \frac{{(o_{i} - e_{i})}^{2}}{e_{i}}$

Here O_i is the observed frequency

e_i is the expected frequency

e_i = total number of observations/number of categories

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