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A polling firm would like to estimate the true proportion of all Canadian voters who support a national gun registry. They survey a sample of 500 voters, 274 of whom support a gun registry.
(a) Construct a 95% confidence interval for the true proportion of Canadian voters who support a gun registry.
(b) Provide an interpretation of the interval in (a).
(c) Conduct a hypothesis test at the 5% level of significance to determine whether there is evidence that most Canadian voters support a gun registry. Show all your steps.
(d) Provide an interpretation of the P-value of the test in (c).
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