You are testing to see if a coin is fair. What is the null hypothesis. Do not state it in words. Do so symbolically; in other words, H0:
You are testing to see if a coin is fair. What is the null hypothesis. Do...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
What is the purpose of hypothesis testing? Do you see any relevant to hypothesis testing in your daily life? This could be school life, personal life, or work life. Start with work life and give us a description of 2-3 scenarios where hypothesis testing may be beneficial.
Polly is testing a coin to see if it is fair. She flips it 100 times and gets 50 heads. What should her conclusion be?
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 =?...
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?
You toss a coin four times and get no heads. The p-value for the null hypothesis that the coin is fair is: Question options: 10% 25% 5% 6.25%
According to Hypothesis Testing Procedure, to test a hypothesis (H1) one needs to first state the corresponding null hypothesis (H0) to later see if they should reject or fail to reject the null hypothesis. True or False
You wish to see whether a coin is fair, so you toss it 4 times and get 2 Heads. Can you conclude the coin is fair?
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...
Suppose you want to test how fair is the coin. You conduct the following experiment. You flip the 2 coins multiple times and observe HH - 14 times, HT - 18 times, TH - 13 times, and TT - 34 times. What is the Test Statistics to test the Null Hypothesis that the coin is fair against the alternative hypothesis that the coin is unfair?