In a hypothesis test, if our calculated probability is greater than alpha, we should accept the null hypothesis. True False
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- When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.If the power for a hypothesis test is calculated to be 0.90, then for the same test, the probability of type 2 error is ___A pair of dice is rolled, and the larger of the two numbers showing is recorded. Find the expected value of this experiment.
- In a test of statistical hypotheses, the P-value tells us O the probability of observing a sample mean as we did or something more unusual if the null hypothesis is true. if the null hypothesis is true. if the alternative hypothesis is true. the largest level of significance at which the null hypothesis can be rejected.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?If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False
- Have you heard that American quarters are biased towards heads? Suppose we want to test the claim that the probability of an American quarter coming up heads is more than 50%. Which of the following are the appropriate null and alternative hypotheses? O Ho:p>0.5; H1: ps 0.5 O Ho:ps0.5; H1:p>0.5 O Ho:p> 0.5; H1:p=0.5 O Ho:p=0.5; H1:p>0.5A researcher is looking at a new marketing campaign for a product. After 200 people watched the marketing campaign about 60 percent liked the product. Prior to the marketing campaign the product was liked by about 50 percent of people. What is the expected number of people that do not like the product if the null hypothesis is true and what is the observed number of people that do not like a product after watching the marketing campaign?A fellow student tells you the P-value is the probability that the null hypothesis is true, so when the P-value is small, you reject the null hypothesis. Explain why the student is not correct. What would you tell the student about the P-value to help them out? What exactly is the relationship between the P-value and the hypotheses?
- 3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?If we fail to reject the null hypothesis when the alternative hypothesis is true, we have made a type Il error. type a error. correct decision. type B error. type I error.In a genetics experiment on peas, one sample of offspring contained 396 green peas and 296 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 34 that was expected?
