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- In the Texas senate races, a candidate must clear 50% to avoid a runoff election. In a recent poll of 1040 voters in Texas, 51% of voters preferred candidate. We will a hypothesis test to see if we can say at the 5% significance level that more than 50% of voters in Texas prefer candidate based on this poll. State the null and alternative hypothesis. Find the test-statistic. Find the P-value. Make a conclusion. Interpret your answer.Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 500 voters finds that 245 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections. Question content area bottom Part 1 How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51?Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
- Many polls are conducted over the telephone. Some polling organizations choose a sample of phone numbers to call from lists that include landline phone numbers only, and do not include cell phones. Do you think this increases the bias in phone polls? [ Select ] [ Select ] No YesExit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 200 voters finds that 104 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? Based on your result, comment on the dangers of using exit polling to call elections. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? The probability that more than 104 people voted for the referendum is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer.A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
- In statistics, the hypothesis that is formally tested by the data is the: Alternative hypothesis Null hypothesisWhat is a null hypothesis? a. A hypothesis that states there is an effect or relationship in the population b. A hypothesis that states there is no effect or relationship in the population c. A hypothesis that is always rejected in hypothesis testing d. A hypothesis that supports the researcher's predictionLast year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 40% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter “0”. Do not round your intermediate calculations.
- A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.Legalization of marijuana, bootstrap test. The 2018 General Social Survey asked a random sample of 1,563 US adults: “Do you think the use of marijuana should be made legal, or not?†60% of the respondents said it should be made legal. (NORC 2018) Consider a scenario where, in order to become legal, 55% (or more) of voters must approve. What are the null and alternative hypotheses for evaluating whether these data provide convincing evidence that, if voted on, marijuana would be legalized in the US.Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 300 voters finds that 147 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections.
