1. The mayor of a town believes that 78% of the residents favor annexation of an...

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.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The mayor of a town believes that 78% of the residents favor annexation of a new...

The mayor of a town believes that 78% of the residents favor annexation of a new bridge. Is there sufficient evidence at the 0.02 level to dispute the mayor's claim?

The mayor of a town has proposed a plan for the annexation of a new community....

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 60% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 55%. Determine the P-value of the test statistic. Round your answer to four decimal places.

The mayor of a town has proposed a plan for the annexation of an adjoining bridge....

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%. Determine the P-value of the test statistic. Round your answer to four decimal places.

The mayor of a town has proposed a plan for the annexation of a new community....

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1600 voters in the town and found that 50% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is less than 53%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Step 4 of 7 : Determine...

The mayor of a town has proposed a plan for the annexation of a new community....

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 900 voters in the town and found that 40% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 36%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 6 : State...

The mayor of a town has proposed a plan for the annexation of a new bridge....

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900 voters in the town and found that 66% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Step 1 of 6: State the null...

The mayor of a town has proposed a plan for the annexation of a new community....

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1600 voters in the town and found that 68% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 65% . Determine the P-value of the test statistic. Round your answer to four decimal places.

A town council wants to estimate the proportion of residents who are in favor of a...

A town council wants to estimate the proportion of residents who are in favor of a proposal to upgrade the computers in the town library. A random sample of 100 residents was selected, and 97 of those selected indicated that they were in favor of the proposal. Is it appropriate to assume that the sampling distribution of the sample proportion is approximately normal?

About 63% of the residents in a town are in favor of building a new high...

About 63% of the residents in a town are in favor of building a new high school. 105 residents are randomly selected. What is the probability that the sample proportion in favor of building a new school is less than 55%?

The residents of the town Ectenia all love econom- ics, and the mayor proposes building an...

The residents of the town Ectenia all love econom- ics, and the mayor proposes building an economics museum. The museum has a fixed cost of $2,400,000 and no variable costs. There are 100,000 town residents, and each has the same demand for museum visits: QD = 10 − P, where P is the price of admission. a) Graph the museum’s average-total-cost curve and its marginal-cost curve. What kind of market would describe the museum b) Themayorproposesfinancingthemuseumwith a lump-sum tax of...

Subjects