Days before a presidential election, a nationwide random sample of registered voters was taken. based on this random sample, it was reported that "52% of registered voters plan on voting for robert smith with a margin of error of plus or minus3%." the margin of error was based on a 95% confidence level. can we say with 95% confidence that robert smith will win the election if he needs a simple majority of votes to win?

No.

Step-by-step explanation:

Based on the sample, "52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus3%." The margin of error was based on a 95% confidence level.

Then 95% Confidence Interval is between 49% and 55%. Since confidence interval also includes non-majority proportions, the assumption that "95% confidence, Robert Smith will win the election" cannot be made.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

1. perpendicular

2. parallel

3. perpendicular