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 Reject Ho. There has not been a significant change in the viewing audience proportions. O Do not reject Ho. There has been a significant change in the viewing audience proportions. O Do not reject H.. There has not been a significant change in the viewing audience proportions.

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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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 81 homes, and independents 54 homes.

Test with α = 0.05 to determine whether the viewing audience proportions changed.

State the null and alternative hypotheses.

\[ H_0: \text{The proportions are not } p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_1: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_0: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_1: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_0: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_1: \text{The proportions are not } p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_0: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \]

\[ H_1: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p
Transcribed Image Text: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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 81 homes, and independents 54 homes. Test with α = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. \[ H_0: \text{The proportions are not } p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_1: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_0: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_1: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_0: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_1: \text{The proportions are not } p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_0: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p_{IND} = 0.16. \] \[ H_1: p_{ABC} = 0.31, p_{CBS} = 0.26, p_{NBC} = 0.27, p
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