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Takeout Food A magazine article reported that 11% of adults buy takeout food every day. A...

Takeout Food A magazine article reported that 11% of adults buy takeout food every day. A fast-food restaurant owner surveyed 200 customers and found that 32 said that they purchased takeout food every day. At α = 0.02, is there evidence to believe the article’s claim? Would the claim be rejected at α = 0.05?

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Answer #1

ANSWER::

Null Hypothesis H0: P = 0.11

Alternative Hypothesis

Sample Proportion

Under H0, the test statistic is

The P-Value is 0.0238

Since p value is greater than significance level. Fail to Reject H0.

Hence we conclude that we have enough  evidence to believe the article’s claim

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