Married at 25. A study suggests that the 25% of 25 year olds have gotten married. You believe that this is incorrect and decide to collect your own sample for a hypothesis test. From a random sample of 25 year olds in census data with size 776, you find that 24% of them are married. A friend of yours offers to help you with setting up the hypothesis test and comes up with the following hypotheses. Indicate any errors you see.

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Answer:

Given hypothesis are

H0: A = 0.24

H1: Â ≠ 0.24

Here sample proportion  is used to express hypothesis instead of population proportion p.

The error is sample parameter  used in hypothesis [ It should be population parameter p or π )

Step-by-step explanation:

Based on the information given, the error that can be seen is that sample proportion  was used in expressing hypothesis rather than population proportion p.

From the information given, the null and alternate hypothesis is given as:

  • H0: A = 0.24
  • H1: Â ≠ 0.24

The error made was that the sample proportion  was used to express hypothesis instead of population proportion p. In this case, it should be population parameter p or π. This was the error.

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