[Step-by-Step] The marketing department has historical information that says that 70 \% of all people surveyed would respond positively to the question "Do you


Question: The marketing department has historical information that says that \(70 \%\) of all people surveyed would respond positively to the question "Do you prefer a TV with a screen ratio design that is significantly greater than 4:3?" As we can see from the last question, this time there was a total of 72 of the 100 people who responded positively to this question. At the 0.05 level of significance has there been a significant increase in the proportion of people who would now respond positively to the same question?

  1. State the Null and Alternative Hypotheses.
  2. Determine the test statistic.
  3. Determine the \(p\) -value.
  4. Interpret the results (decision and summary).

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