Question

In: Statistics and Probability

A researcher believes that the proportion of a community’s population in favor of a new park...

A researcher believes that the proportion of a community’s population in favor of a new park is greater than the countywide proportion of 0.65. A survey of 67 people in the community reveals that the estimated proportion of the community in favor of it is equal to 0.76. Use alpha = 0.05. State the null and alternative hypotheses, find the test statistic, compare it with the critical value, make a decision, and find the p-value. (4)

Solutions

Expert Solution


Related Solutions

3. 11.75% of the population is in favor of a new park. 275 citizens were surveyed....
3. 11.75% of the population is in favor of a new park. 275 citizens were surveyed. What is the probability that between 11% and 15% of them will be in favor of the new park? *
A group in favor of freezing production of nuclear weapons believes that the proportion of individuals...
A group in favor of freezing production of nuclear weapons believes that the proportion of individuals in favor of a nuclear freeze is greater for those who have seen the movie "The Day After" (population 1) than those who have not (population 2). In an attempt to verify this belief, random samples of size 500 are obtained from the populations of interest. Among those who had seen "The Day After", 228 were in favor of a freeze. For those who...
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?
We are interested to estimate the proportion of the population who favor a candidate. Suppose that...
We are interested to estimate the proportion of the population who favor a candidate. Suppose that 210 of the people in a sample of 500 favored the candidate. (a) What is the proportion estimate, p-hat, and the standard error? (b) Find the 90% confidence interval for the proportion of the population who favor the candidate. Interpret result.
A researcher at a major hospital wishes to estimate the proportion of the adult population of...
A researcher at a major hospital wishes to estimate the proportion of the adult population of the United States that has high blood pressure. How large a sample is needed to be 90% confident that the sample proportion will not differ from the true proportion by more than 5% A. If no preliminary estimate is available B. If a recent survey indicated that 43% of the population suffers from high blood pressure.
A researcher believes that the proportion of male high school seniors who have their own cars...
A researcher believes that the proportion of male high school seniors who have their own cars is higher than the proportion of female high school seniors who have their own cars. In a sample of 35 male high school seniors 20 had their own cars. In a sample of 40 female high school seniors, 20 had their own cars. At α = 0.05, test the researchers claim using the five step testing method.
A researcher wishes to? estimate, with 99 ?% ?confidence, the population proportion of adults who are...
A researcher wishes to? estimate, with 99 ?% ?confidence, the population proportion of adults who are confident with their? country's banking system. His estimate must be accurate within 2 ?% of the population proportion. ?(a) No preliminary estimate is available. Find the minimum sample size needed. ?(b) Find the minimum sample size? needed, using a prior study that found that 36 ?% of the respondents said they are confident with their? country's banking system. ?(c) Compare the results from parts...
The Park Manager at Fort Fisher State Park in North Carolina believes the typical park visitor...
The Park Manager at Fort Fisher State Park in North Carolina believes the typical park visitor spends at least 90 minutes in the park during summer months. A sample of 18 visitors during the summer months of 2011 revealed the mean time in the park was 96 minutes with a standard deviation of 12 minutes. At the 0.01 significance level, is it reasonable to conclude that the mean time in the park is greater than 90 minutes? What is alpha?
A researcher wishes to​ estimate, with 90​% ​confidence, the population proportion of adults who think the...
A researcher wishes to​ estimate, with 90​% ​confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 4​% of the true proportion. ​a) No preliminary estimate is available. Find the minimum sample size needed. ​b) Find the minimum sample size​ needed, using a prior study that found that 32​% of the respondents said they think their president can control the price of gasoline. ​c) Compare...
A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who are confident...
A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who are confident with their​ country's banking system. His estimate must be accurate within 4​% of the population proportion. ​(a) No preliminary estimate is available. Find the minimum sample size needed. ​(b) Find the minimum sample size​ needed, using a prior study that found that 34​% of the respondents said they are confident with their​ country's banking system. ​(c) Compare the results from parts ​(a) and ​(b)....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT