there were 230 participants in the treatment group and 227 in the control group cohens d was 0.50. Is it real or due to chance

A study indicates that 48% of births at a particular hospital have are by caesearian section. You randomly sample 8 births at a particular hospital. Find the probability that less than 3 are by caesearian section.

A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)

1000 us adults were asked about their online vs. in store clothes shopping. One finding was that 32% of respondents never clothes-shop online.   How do I find the probability that the pecentage of respondents who never shop online is below 33.3%

Based on observation 85% of the population of adult males wash their hands in a public restroom. In a survey of 523 adult males, 518 reported they washed their hands when using a public restroom. Find the probability that among 523 randomly selected adult males 518 or more wash their hands in a public. restroom. Does it appear that all the people who claimed they washed their hands were telling the truth?