Math Solutions

Solution: A survey of 155 gun owners was taken, and 43.2% of them said they "have a gun for protection for self and/or family." Is there enough evidence to

Question: (20 points) A survey of 155 gun owners was taken, and 43.2% of them said they "have a gun for protection for self and/or family." Is there enough evidence to conclude that less than 50% of gun owners have a gun or guns for protection?

  1. State the hypotheses.
  2. Using a 5% significance level, determine the rejection and non-rejection regions.
  3. Calculate the test statistic, and interpret the result.
  4. Calculate the p-value.
  5. Calculate the 95% confidence interval for the corresponding population proportion. How does this result relate to the conclusions in parts (c) and (d)?

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