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Significance level = 6 is rolled ……….. times n = Glue here

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Presentation on theme: "Significance level = 6 is rolled ……….. times n = Glue here"— Presentation transcript:

1 Significance level = 6 is rolled ……….. times n = Glue here
1. Establish the null and alternative hypothesis. 4. Conduct a test, doing the necessary calculations. 2. Decide on the significance level. 3. Collect suitable data using a random sampling procedure. Null Hypothesis H0: Alternative Hypothesis H0: 6 is rolled ……….. times n = The null hypothesis is the probability of the usual situation occurring. The significance level is the probability of rejecting the null hypothesis when it is in fact true, it is given as a percentage. The lower the percentage the more stringent the test. The data here is already given so it’s a case of reading the question carefully. Significance level = P(X ≥ 4) = If H0 is true, then, if X is the no. of sixes, X ~ B( , ) Use the tables to find the probability, not forgetting that they show ≤ and we are looking for ≥.

2 5. Interpret the results in terms of the original claim.
Glue here 5. Interpret the results in terms of the original claim. Hypothesis testing Adam suspects that the die being used in a game of snakes and ladders is biased towards the number six. He agrees with Tom to test the die by throwing it 10 times and recording the number of sixes. In the test, there were 4 sixes. Is Adam right to be suspicious? Phrases like “there is evidence to suggest that…” or “there is not sufficient evidence to suggest that..” are good. Saying “this proves that…” or “so the claim is right” are BAD. We still can’t say with complete certainty whether or not the die is biased. You aren’t proving anything, only considering evidence If the percentage found is > than the significance level given then the null hypothesis is accepted. If the percentage is < than the significance level then the null hypothesis is rejected.


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