Chapter 26 1. A gambler goes to the local casino and observes the action at the craps table for 100 throws of the dice. He notices that 21 of the throws come up 7. State the null and alternative hypotheses, and find the P-value of his observations. Is this a statistically significant result? 2. Suppose you want to determine if a coin is biased to land tails more often than heads. You flip the coin 125 times and find that you got 53 heads. State the null and alternative hypotheses, and find the P-value of your observations. Is this a statistically significant result? 3. Of 12 people on a jury Denver, 8 of them are men. The prosecutor argues that the jury is not a fair representation of Denver’s population (In 2004, Denver had 50.7% men). A statistician is called to verify this. a) Should the statistician use a z-test or a t-test? b) Find the test statistic for the percentage of men in the jury. Does the prosecutor have a valid argument? 4. In many cities, chlorine is added to drinking water to remove microbes.
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