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A popular band from Australia conducts a poll to gather general demographic information about its fan base. They find that about 89% of the people
A popular band from Australia conducts a poll to gather general demographic information about its fan base. They find that about 89% of the people who responded to the poll were Australian-born citizens. The band wants to see whether they can increase the proportion of their fans who live outside Australia by becoming more active on various social media platforms. They create social media accounts on Facebook, TikTok, and Instagram and then begin posting content on a weekly basis. Use this information to answer the following questions.
- What are the band's null and alternative hypotheses?
- The alternative hypothesis in this example is a one-tailed test. How could the band change their hypothesis to make it a two-tailed test? What evidence would they need to reject their hypothesis if they used a two-tailed test?
- If the band conducts a hypothesis test and finds a p-value of 0.069, should the null hypothesis be rejected? Explain.
- If the band conducts a hypothesis test and finds a p-value of 0.001, would it be reasonable to conclude that the number of their fans who live in Australia decreased? Explain.
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