Suppose that 90% of all registered voters in a certain state favor banning the release of information from exit polls inpresidential elections until after the polls in that state close. A random sample of 25 registered voters is to be selected. Letx = number of registered voters in this random sample who favor the ban. (Round your answers to three decimal places.)(a) What is the probability that more than 20 voters favor the ban?0.902(b) What is the probability that at least 20 favor the ban?0.967(c) What is the mean value of the number of voters who favor the ban?22.5What is the standard deviation of the number of voters who favor the ban?1.5(d) If fewer than 20 voters in the sample favor the ban, is this inconsistent with the claim that (at least) 90% ofregistered voters in the state favor the ban? (Hint: Consider P(x < 20) when p = 0.9.)Since P(x < 20) = 0.000X, it seems unlikelythat less 20 voters in the sample would favor theban when the true proportion of all registered voters in the state who favor the ban is 90%. This suggests this eventwould be inconsistent ✓ with the claim that (at least) 90%. of registered voters in the state favor the ban.

The random variable X is given as the number of registered voters in this random sample who favor…

(d) If fewer than 20 voters in the sample favor the ban, is this inconsistent with the claim that (at least) 90% of registered voters in the state favor the ban? (Hint: Consider P(x < 20) when p = 0.9.) X, it seems unlikely Since P(x < 20) = 0.000 that less 20 voters in the sample would favor the ban when the true proportion of all registered voters in the state who favor the ban is 90%. This suggests this event would be inconsistent ✓ ✔✔ with the claim that (at least) 90%. of registered voters in the state favor the ban.

(d) If fewer than 20 voters in the sample favor the ban, is this inconsistent with the claim that (at least) 90% of registered voters in the state favor the ban? (Hint: Consider P(x < 20) when p = 0.9.) X, it seems unlikely Since P(x < 20) = 0.000 that less 20 voters in the sample would favor the ban when the true proportion of all registered voters in the state who favor the ban is 90%. This suggests this event would be inconsistent ✓ ✔✔ with the claim that (at least) 90%. of registered voters in the state favor the ban.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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