Approximately 1.55 percent of people ages 40-50 have breast cancer.* Suppose a person has a 86 percent chance of a positive test from a mammogram given they have breast cancer (a true positive result). Let's also suppose a person has a 6 percent chance of a positive test from a mammogram given they do not have breast cancer (a false positive result).

Please add a lot of details, im very confused.

What is the statistics processes stages and how do we select a simple random ?

According to the May 16,2017 report by Pew Research, 45% of US adults say solar energy is very effective in minimizing air pollution. A sample of 160 U.S adults are surveyed. Let ?ˆp^ be the sample proportion of Americans who believe solar energy is very effective in What is the probability that no more than 76 U.S adults of the 160 surveyed believe solar energy is very effective in minimizing air pollution? What is ?ˆp^? Answer    (decimal form)   What is the z-score? Answer    (Round to the hundredths place)   What is the probability that no more than 76 U.S. adults of the 160 surveyed believe solar energy is very effective in minimizing air pollution? Answer    (decimal form) minimizing air pollution.

If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of catching the flu among individuals not taking vitamin C is 0.2653, then the individuals not taking vitamin C are 7.7573 times more likely to catch the flu than individuals taking vitamin C.  True  False

According to sources 5% of currently infected COVID-19 patients are in serious or critical condition. If 2,500 individuals are (currently) infected in a small town what are the odds that 120 or more individuals are will wind up in serious or critical condition. Source as of (3/28/20): https://www.worldometers.info/coronavirus/e 1% 99% 67.6% 32.3%

The personality variable extraversion is normally distributed in the population and has a mean of 10 and a standard deviation of 2. Researchers consider individuals who are 1 standard deviation above the mean “highly” extroverted. What is the probability that you can randomly sample 3 people from the population and all 3 would be “highly” extroverted?

Question 8 Please solve the problem with simple probability rules (no Excel)

What does rare outcomes signifies?

Suzette does an experiment where she collects date from 5 women snd obtains the scores: 4, 4, 5, 2, 5. She hypothesizes that the population mean for the population from which these scores are drawn is 3. She wants to test whether this hypothesis is true. What is the alternative hypothesis she is testing?