Ian is doing a two-tailed hypothesis test to see if his coin is fair. The significance level is 5%. If his coin really is fair, what is the probability that he will correctly conclude that it is fair?
as probability of retaining the null hypothesis given it is true=1 -level of significance
therefore probability that he will correctly conclude that it is fair =1-0.05 =0.95
Ian is doing a two-tailed hypothesis test to see if his coin is fair. The significance...
Test the claim that your coin is fair, using a 5% level of significance. Use the Chi-Square Goodness of Fit Test. Toss a coin at least 12 times (why?). a) What is n? What are the number of Tails and Heads? These are the Observed frequencies. b) What are the Expected frequencies? c) What is the Null Hypothesis H0? d) What is the Alternative Hypothesis H1? e) Is this a left, right, or two-tailed test? f) Chi-Square Test Statistic =?...
a bag contains one fair coin, two two-headed coins, and three two-tailed coins. each of the is flipped, but the outcomes of the fice coins are hidden from you, randomly. if the outcome you see is headsm, what is the probability that the fair coin (which may or may not be the coin that was shown to you) panded heads up?
A researcher calculates is doing a two-tailed test and calculates a test statistic of z=-1.69 and her level of significance (alpha) is 0.05. Does she reject the null hypothesis? a) Yes b) No c) Need more information
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
Design a decision rule to test the hypothesis that a coin is fair if we take a sample of 64 tosses of the coin and use significance levels of: (a) 0.05 (b) 0.01 Please provide all steps in solution.
1. What are null hypothesis and alternative hypothesis? 2. Inastatisticaltest,wehavethechoiceofatwo-tailedtest,aleft- tailed test, or a right-tailed test. Which hypothesis is the determining factor for choosing the direction of the test? (In other words, how would you decide it) 3. Forthesamesampledataandnullhypothesis,howdoesthe P-value for a two-tailed test compare to that for a one-tailed test? 4. Using P-value method, how would you reject or fail to reject the null hypothesis? (what is the decision criteria?) How does level of significance matter to the hypothesis...
Multiple Choice: Question #1 A two tailed hypothesis test is being used to evaluate a treatment effect with ( a = .05). if the sample data produce a Z-score of ( z= -2.24), what is the correct decision? A. Reject the null hypothesis and conclude that the treatment has no effect B. Reject the null hypothesis and conclude that the treatment has an effect C. Fail to reject the null Hypothesis and conclude that the treatment has no effect D....
a two tailed test is performed at a 5% level of significance. THE value is determined to be 0.04 the null hypothesis a) has been designed incorrect 2) should not be rejected 3)may or may not be rejected depending on sample size 4. should be rejected
Hypothesis Problems For the following hypothesis tests: a. State the null (Ho) and alternative (Hi) hypotheses b. State the type of test (right-tailed, left-tailed, or two-tailed) c. State the multiplier for an a (level of significance) of .05. The Chamber of Commerce states that only 15% of Boston tourists stay more than 2 days. A new chamber employee feels that the percentage staying more than 2 days is greater than 15%, and plans to sample a set of tourists to...