A survey of 175 gun owners was taken, and 44.3% of them said they "have a gun for protection for self and/or family." Is there evidence to conclude that the percentage of gun owners have guns for protection of self and/or family is significantly different from 50%?
(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, and interpret the result.
(e) Calculate a 95% confidence interval for the corresponding population proportion. How does this result related to the conclusions in parts (c) and (d)?
Details are welcome, as much as possible