Question

(1 point) Recent polls indicate that if a federal election would be held today, 34.1% of Canadian voters would cast his/her vote for the Liberal Party candidate in his/her riding. Suppose you are a political pollster, and you are to randomly pick ?=457 n = 457 Canadian voters, asking each Which political party will you support in the next federal election?

(a) What can you expect the value of ?ˆ p ^ to be? ________

(b) Find the value of the standard deviation of ?ˆ p ^ . Enter your answer using all the decimals you can. ??ˆ= ______

(c) Find the probability that proportion of your sample of 457 that will indicate support for the Liberal Party is at least 31% to at most 37%. Enter your answer using all the decimals you can. ?(0.31≤?ˆ≤0.37)= P ( 0.31 ≤ p ^ ≤ 0.37 ) = equation editorEquation Editor (d) 3% of the time, the observed value of your statistic ?ˆ p ^ will exceed what value? Enter your answer using all the decimals you can.______

Answer 1

Given that n=457, p = 34.1% (a) P&50.341 (6) I È Claip 0.341(1-0-3400 457 0.0222 (c) P (0.31 = Rs 0.37) 0.31 -0.341 0.37 -0.341 < Z . 0.0222 0.0222 - P(-1.3964 cZc1.3063) P(Z <1.3063) - P(Z <= 1.3964) 0.9043 -0.0813 0.8230 (d) with P-value = 0.03 the corresponding Z-score to sight - is 1.881 1.881 : -0.341 0.0222 : 0.3828