11C Coreq

In the next preview assignment and in the next class, you will need to identify P-values as probabilities and then compare them to other numbers. Recall that probabilities are  numbers between 0 and 1. Flu Shots in the United States

Recall that percent means “out of one hundred.” Percentages  may be written as fractions or as decimals. Depending upon  the use, one form may be preferred over the other, but they  are equivalent. To convert a percentage into a probability, you  divide the percentage by 100, which is the same as moving  the decimal point two places to the left.

To compare decimals that are between 0 and 1, always start  in the tenths place. The decimal with the larger value in the  tenths place is bigger. If they are the same, move on to the  hundredths place and compare. If these values are the same,  keep moving to the right and repeat the process until you find  one that is bigger or you find out the decimals are equal.

Yearly flu shots are recommended to help reduce the risk of  catching the flu, hospitalization from the flu, or death due to the flu. The Centers for Disease Control and Prevention  monitors how many flu shots are given annually for various age groups. The following  graph shows the percentages of adults by age group in the United States who received  their flu shots between 2010 and 2020.[1]

Question 1

In the 2019-2020 flu season, approximately 38.4% of adults ages 18–49 got their flu  shots. This was a difference of 11.5% from two years earlier in 2017-2018. Write  11.5% as a decimal.

Question 2

In the 2019-2020 flu season, approximately 50.6% of adults ages 50–64 got their flu  shots. This was a difference of 10.9% from two years earlier in 2017-2018. Write  10.9% as a decimal.

Question 3

On the following number line, plot your answers to Questions 1 and 2.

Question 4

Between the two flu seasons (2017-2018 and 2019-2020), which difference was  larger: the difference in flu shots for adults ages 18–49 or the difference in flu shots  for adults ages 50–64?

Question 5

Choose the correct mathematical symbol to replace the question mark in the  following mathematical statement: 0.115 ? 0.109.

  1. a) [latex]>[/latex]
  2. b) [latex]<[/latex]
  3. c) [latex]\leq[/latex]
  4. d) [latex]\geq[/latex]
  5. e) [latex]=[/latex]

Question 6

Which of the given values is smaller?

  1. 0.0001 or 0.01
  2. 0.024 or 0.025
  3. 0.123 or 0.0123

Question 7

Determine whether the following is true or false: [latex]0.01 \leq 0.01[/latex].

Question 8

Write 1% as a decimal.

Question 9

Write 10% as a decimal.

 

  1. Centers for Disease Control and Prevention. (2020, October 1). Flu vaccination coverage, United States, 2019-20 influenza season. https://www.cdc.gov/flu/fluvaxview/coverage 1920estimates.htm#:~:text=Overall%2C%20among%20adults%20%E2%89%A518,19%20season%20(Fi gure%204). ↵