n a genetics experiment on​ peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was​ expected?

Physicians at a clinic gave what they thought were drugs to 960960 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5252 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.490.49. For the hypotheses that the proportion of improving is 0.490.49 against that it is >0.49>0.49, find the p-value. p=p=

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62% What is the probability that in a random sample of 470 headache sufferers, less than 59.9% obtain relief?

Teenagers who do not sleep well or long enough may have a higher risk of raised blood pressure, which could lead to cardiovascular disease later in life. The odds of raised blood pressure increase 3.5 times for those who have trouble falling asleep at night or who wake up too early and 2.5 times for those with sleeping periods of fewer than 6.5 hours. A health psychologist is interested in studying teenagers who have diastolic blood pressure scores in the top 20%. Diastolic blood pressure scores for teenagers follow a normal distribution with μ = 72 and σ = 10. Use the Distributions tool to help answer the questions that follow.     The minimum z-score necessary to be in the top 20% of the diastolic blood pressure distribution is z =0.842   .   Use this z-score to determine X, the corresponding diastolic blood pressure score. X = 80.42      This score, X, is the 80th    percentile of diastolic blood pressure scores among teenagers. The percentile rank of this score is 80%…