1.39. True or false? Consider a coin that has probabilityof 0.5 of coming up heads. For each of the followingstatements, decide if it is true or false. Explain youranswers.(a) If you toss the coin 10 times, it will come up heads5 times.(b) If you toss the coin a very large number of times, theproportion of heads will be close to 0.5.1.40. Margin of error. Do you think that the margin oferror for a sample of 10 would be larger or smaller thanthe margin of error for a sample of size 100? Explain youranswer.

Answered: (a) If you toss the coin 10 times, it…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
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(a) If you toss the coin 10 times, it will come up heads 5 times. (b) If you toss the coin a very large number of times, the proportion of heads will be close to 0.5.