Question

1. The mayor of a town believes that 78% of the residents favor annexation of an adjoining community. Is there sufficient evidence at the 0.01 level to dispute the mayor's claim?

State the null and alternative hypotheses for the above scenario

2.The mayor of a town believes that more than 72% of the residents favor construction of an adjoining community. Is there sufficient evidence at the 0.05 level to support the mayor's claim?

3. A newsletter publisher believes that over 71% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser decides to reject the null hypothesis.

What is the conclusion regarding the publisher's claim?

a. There is sufficient evidence at the 0.02 level of significance that the percentage is over 71%.

b.There is not sufficient evidence at the 0.02 level of significance to say that the percentage is over 71%

4.A publisher reports that 53% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 310 found that 57% of the readers owned a personal computer. Is there sufficient evidence at the 0.01 level to support the executive's claim?

-State the null and alternative hypotheses.

-Find the value of the test statistic. Round your answer to two decimal places.

-Specify if the test is one-tailed or two-tailed.

-Determine the decision rule for rejecting the null hypothesis, H0.

-Make the decision to reject or fail to reject the null hypothesis.

Answer 1