A researcher wishes to test ??0: ?? = 0.05 against ??1: ?? ≠ 0.05 at the 0.01 significance level. What is the probability that the researcher commits a Type I error?

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Consider a sample of 50 football​ games, where 27 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than​ one-half. What is the P-Value?

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Which of the following is true regarding standard tests of hypothesis? O The probability of committing a Type I error and a Type II error are always equal. The probability of committing a Type I error is always higher than the probability of committing a Type II error. The probabilities of committing a Type I error and Type Il error both decrease as the sample size increases. The probability of committing a Type Il error is always higher than the probability of committing a Type I error.

More evidence against H0 is indicated by     smaller p-values.     smaller critical values.     lower levels of significance.     lower probabilities for the power of the test.

Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error.   True False

Suppose a chef claims that her meatball weight is less than 3 ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 10% significance level, to persuade them. She cooks 15 meatballs. The mean weight of the sample meatballs is 3.1 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.6 ounces. What is the competing hypothesis in symbolic notation?

Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.1 significance level. The null and alternative hypothesis would be: Ho:p 2 0.2 Ho:p = 0.2 Ho: u 0.2 Ho: u = 0.2 Ho:p 0.2 H1 : p 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, 11% owned cats The p-value is: 0.1 x (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

If an experimenter realizes that the consequences of a type one error are severe, then he will most likely set the significance level of the test at 5% or possibly higher if the consequences are particularly troublesome a. true b. false