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The Center for Disease Control launched a campaign aiming to vaccinate 70% of the population against flu. At the end of the campaign, CDC randomly

The Center for Disease Control launched a campaign aiming to vaccinate 70% of the population against flu. At the end of the campaign, CDC randomly tested 1000 individuals and found that X of them were vaccinated. After conducting a hypothesis test, CDC announced that they were 95% confident that the campaign's goal had been met.

  1. Write down the null and alternative hypotheses for testing.
  2. What is the range of X that can support the CDC's announcement about achieving the campaign goal?

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