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?

(a) State the hypotheses.

(b) Using a 5% significance level, determine the rejection and non-rejection regions.

(c) Calculate the test statistic, and interpret the result.

(d) Calculate the p-value.

(e) Calculate the 95% confidence interval for the corresponding population proportion. How does this result relate to the conclusions in parts (c) and (d)?