Based on past data, it is known that about 20.5% of people smoke cigarettes. Suppose we take a sample of 100 people currently and find that only 12% smoke cigarettes. We want to see if there is evidence that the percentage of people who smoke cigarettes is decreasing. a. IfI wanted to control my margin of error and set it to 3% with 99% confidence, what sample size would I need to take instead of the 100? b. Using my original sample size of 100, what would be the 99% confidence interval for the population proportion? c. What are the null and alternative hypotheses? d. What is the critical value at 99% confidence? e. Calculate the test statistic (using the sample of 100). f. Find the p-value. 8. What conclusion would be made here at the 99% confidence level?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Please answer B-D and include FOUR decimal places!
![2. Based on past data, it is known that about 20.5% of people smoke cigarettes. Suppose we take a sample of 100
people currently and find that only 12% smoke cigarettes. We want to see if there is evidence that the
percentage of people who smoke cigarettes is decreasing.
a. If I wanted to control my margin of error and set it to 3% with 99% confidence, what sample size would I
need to take instead of the 100?
b. Using my original sample size of 100, what would be the 99% confidence interval for the population
proportion?
c. What are the null and alternative hypotheses?
d. What is the critical value at 99% confidence?
e. Calculate the test statistic (using the sample of 100).
f. Find the p-value.
g. What conclusion would be made here at the 99% confidence level?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cc149fa-d6b3-475a-a25e-7a9625df8ad5%2Fd5180152-ecd3-425d-b870-a0a6cdcc123a%2Ferjy5i5_processed.png&w=3840&q=75)
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