The trustees of a local school district commission a survey to determine voter opinions about a possible bond measure to fund school upgrades. In a poll of 293 of the district’s 5,019 registered voters, 178 would support the bond measure. A hypothesis test was conducted using Minitab to determine if such a bond would pass with the required 55% of the vote.Interpret the meaning of the p-value as a probability statement that relates to this scenario.
Question
The trustees of a local school district commission a survey to determine voter opinions about a possible bond measure to fund school upgrades. In a poll of 293 of the district’s 5,019 registered voters, 178 would support the bond measure. A hypothesis test was conducted using Minitab to determine if such a bond would pass with the required 55% of the vote.Interpret the meaning of the p-value as a probability statement that relates to this scenario.
Solution
I'm sorry, but you didn't provide the p-value from the Minitab analysis. The p-value is a crucial part of interpreting the results of a hypothesis test.
Generally, the p-value is the probability of obtaining the observed data (or data more extreme) if the null hypothesis is true. In this case, the null hypothesis would be that the bond measure does not have the support of 55% of the voters.
If the p-value is small (typically less than 0.05), it suggests that it is unlikely we would observe such data if the null hypothesis were true. Therefore, we would reject the null hypothesis and conclude that the bond measure does have the support of 55% of the voters.
If the p-value is large (greater than 0.05), it suggests that it is likely we would observe such data if the null hypothesis were true. Therefore, we would fail to reject the null hypothesis and conclude that the bond measure does not have the support of 55% of the voters.
Please provide the p-value so I can give a more specific interpretation.
Similar Questions
In 2007, a Gallup poll estimated that 45% of U.S. adults rated their financial situation as “good.” We want to know if the proportion is smaller this year. We gather a random sample of 100 U.S. adults this year and find that 39 rate their financial situation as “good.” Use the output from Minitab to complete the following statements about the p-value. Use numbers from the output to fill in the blanks.A p-value of tells us that it is to get data like those observedassuming .Reset this ActivityThis p-value is the probability of observing a test statistic than ,assuming .Reset this ActivityThe p-value is the probability of observing a sample proportion that is standard deviations or more p0 = ,assuming that the true population proportion is .Reset this ActivityThe p-value is the probability of observing a sample proportion of or in a random sample of size , when thetrue population proportion is .
A national opinion poll found that 44% of all American adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. The result was based on a simple random sample of 500 households in which 200 families agreed. The researchers believe the true proportion of those who agreed would be less than their findings. What is the p-value of their test?
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. The p-value is
Suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. Last month, 35% of the representative sample of registered voters approved of the president. For this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. The significance level for this test was 0.05.The results of the hypothesis test of the new survey showed a p-value of 0.008.Which of the following statements is correct? Check all that apply. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.
The p-value in hypothesis testing represents which of the following: Group of answer choicesThe probability of failing to reject the null hypothesis, given the observed resultsThe probability that the null hypothesis is true, given the observed resultsThe probability that the observed results are statistically significant, given that the null hypothesis is trueThe probability of observing results as extreme or more extreme than currently observed, given that the null hypothesis is true
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.