1. A Gallup poll claims that at least 60% of adults in the United States have used the Internet for shopping. In a survey of 1,025 randomly selected adults in the U.S., 678 said that they have used the Internet for shopping. Test the polls claim at the significance level of =.05 .

a. Identify the claim, and write the claim, the null hypothesis, and the alternative hypothesis in symbolic form.

b. Determine if the test is two-tailed, right-tailed, or left-tailed, and determine the value of the test statistic.

c. Find the P-value, and use it to either reject or fail to reject the null hypothesis.

d. Write your conclusion in a complete sentence in plain English.

2. In a clinical study of an allergy drug, 103 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.05 significance level, test the claim that more than half of all those using the drug experience relief.

a. Identify the claim, and write the claim, the null hypothesis, and the alternative hypothesis in symbolic form.

b. Determine if the test is two-tailed, right-tailed, or left-tailed, and determine the value of the test statistic.

c. Find the P-value, and use it to either reject or fail to reject the null hypothesis.

d. Write your conclusion in a complete sentence in plain English.

3. When the blue m&ms were introduced by Mars, Inc. in 1995, the company claimed that the percentage of blue m&ms in each bag would be 10%. Test the companys claim at the significance level of =.05, using your results from the class totals that we calculated on Quiz 9.

a. Identify the claim, and write the claim, the null hypothesis, and the alternative hypothesis in symbolic form.

b. Determine if the test is two-tailed, right-tailed, or left-tailed, and determine the value of the test statistic.

c. Find the P-value, and use it to either reject or fail to reject the null hypothesis.

d. Write your conclusion in a complete sentence in plain English.

e. Do you think that anything has changed in the percentage of blue m&ms in a bag since 1995? Explain.

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