It has been shown by claims that have been made that 20% of parcels arrive damaged when using an inter-municipal transport company. What is the probability that when sending 100 parcels, the proportion of damaged items is less than 25%?

A random sample of 300 physicians shows that there are 50 of them who make at least $200,000 a year. What is the test statistic if we want to test that the true proportion of physicians in the population who make at least $200,000 a year is less than 0.20?

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 44? Express your answer as a fraction or a decimal number rounded to four decimal places.

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.1%. What is the probability that in a random sample of 490 headache sufferers, less than 59.3% obtain relief? Probability =

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A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 10? Express your answer as a decimal rounded to four decimal places.

The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers.  A random sample of 100 orders will be used to estimate the proportion of first-time customers.  What is the probability that the sample proportion will be within .05?

Apparently, depression significantly increases the risk of developing dementia later in lift (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression.   What is the probability of a person developing dementia?   If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?

In Bayesian statistics, a 90% credible interval (or Bayes interval) covers the true parameter with (subjective) probability 90%. True False

high blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of  83 U.S. adults is chosen, Find the probability that more than 41%  of the people in this sample have high blood pressure.