Suppose that a national poll of 300 registered Republicans was conducted this week and 165 stated that they preferred Donald Trump to be the 2024 Republican candidate for President. (a)  What is the sample proportion of registered Republicans preferred Donald Trump to be their candidate (to 2 decimal places)?   (b)  For the sample proportion derived from the poll (in part (a)), what is the standard error of the proportion (to 4 decimal places)?  (Preserve many decimal places until you present only 4 decimal places for the final answer.)  (c)  If I wanted to construct a 90% confidence interval of the proportion of registered Republicans who prefer Donald Trump's candidacy based on this poll, what critical z would I use?

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Suppose that a national poll of 300 registered Republicans was conducted this week and 165 stated that they preferred Donald Trump to be the 2024 Republican candidate for President.

(a)  What is the sample proportion of registered Republicans preferred Donald Trump to be their candidate (to 2 decimal places)?  

(b)  For the sample proportion derived from the poll (in part (a)), what is the standard error of the proportion (to 4 decimal places)?  (Preserve many decimal places until you present only 4 decimal places for the final answer.) 

(c)  If I wanted to construct a 90% confidence interval of the proportion of registered Republicans who prefer Donald Trump's candidacy based on this poll, what critical z would I use?

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