We want to test the hypothesis that more than 45% of Americans watch the Super Bowl, so we collect a random sample of 1,200 Americans and find that 552 of them watched the game. What are the hypotheses?
Question
We want to test the hypothesis that more than 45% of Americans watch the Super Bowl, so we collect a random sample of 1,200 Americans and find that 552 of them watched the game. What are the hypotheses?
Solution
The hypotheses for this test would be:
Null Hypothesis (H0): p = 0.45 - This is the hypothesis that the proportion of Americans who watch the Super Bowl is 45% (or less).
Alternative Hypothesis (H1): p > 0.45 - This is the hypothesis that the proportion of Americans who watch the Super Bowl is more than 45%.
Here, 'p' represents the population proportion.
In this case, you are testing whether the data suggests you should reject the null hypothesis in favor of the alternative hypothesis (that more than 45% of Americans watch the Super Bowl).
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