Question

In: Statistics and Probability

1. One researcher believes a coin is “fair,” the other believes the coin is biased toward...

1. One researcher believes a coin is “fair,” the other believes the coin is biased toward heads. The coin is tossed 21 times, yielding 16 heads. Indicate whether or not the first researcher’s position is supported by the results. Use α = .05.


2. Design a decision rule to test the hypothesis that a coin is fair if a sample of 64 tosses of the coin is taken and if a level of significance of (a) .05 and (b) .01 is used.


3. The mayor claims that blacks account for 30% of all city employees. A civil rights group disputes this claim, and argues that the city discriminates against blacks. A random sample of 120 city employees has 19 blacks. Test the mayor’s claim at the .05 level of significance.

Solutions

Expert Solution

The 1 problem is right tailed test. So we have a single critical value and is positive.


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