A poll shows 60% of voters support choice A out of 25 voters. Someone else claims the actual support is 50%. What is the critical value?
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A poll shows 60% of voters support choice A out of 25 voters.
Someone else claims the actual support is 50%.
What is the critical value?
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- A statistician is advising the government on policy that aims to benefit small bakers. Before going to the government with advice, they seek out the opinion of bakery shop owners. They survey 300 small bakery shop owners and ask whether they believe that the proposed policy will help them. 65% of those surveyed stated that the proposed policy would help them. It is known that there is a total of 3,000 small bakery shop owners in the country. The statistician hopes to find strong evidence that the policy will benefit at least 60% of bakery shop owners. Conduct a hypothesis test at a 1 percent level. Do the findings provide strong evidence that at least 60% of bakery shop owners state that the policy will be beneficial?The medical researcher is comparing two treatments for lowering cholesterol: diet and meds. The researcher wants to see if the patients who receive the recommendation to change their diet have equal success lowering cholesterol compared to a prescription of meds. A random sample of some patients who received the recommendation to change their diet and others who were prescribed meds was taken. The results of how many did or did not lower their cholesterol are shown below: Diet Meds Yes 372 561 No 169 308 What can be concluded at the = 0.10 level of significance? The test statistic z= (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)It is often useful for retailers to determine why their potential customers chose to visit their store. Possible reasons include advertising, advice from a friend, or previous experience. To determine the effect of full-page advertisements in the local newspaper, the owner of an electronic-equipment store asked randomly selected people who visited the store whether they had seen the ad. He also determined whether the customers had bought anything, and if so, how much they spent. Among the respondents who saw the ad, 49 made an average purchase of $97.38 with a variance of $622. Among the respondents who did not see the ad, 21 made an average purchase of $92.01 with a variance of $283.3. Can the owner conclude that customers who see the ad spend more than those who do not see the ad (among those who make a purchase) at 5% significance level? Population: One Two Multiple Formula #: Answer Hypothesis Null H0 : (μ, π, σ², μd, μ1 - μ2, π1- π2, σ₁²…
- A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distributed. What type of test is this hypothesis test? Select the correct answer below: This is a left-tailed test because the alternative hypothesis is H. : Ha 0. This is a two-tailed test because the alternative hypothesis is H, : µa # 0. This is a right-tailed test because the alternative hypothesis is H, : Ha > 0. This is a right-tailed test because the alternative hypothesis is H, : µa < 0.Need helpExit 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 400 voters finds that 208 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 208 people voted for the referendum is 0.246 (Round to four decimal places as needed.) (1,1) More Get more help- Media - Clear all Check answer Accessible Resources
- Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 192 out of a random sample of 265 college students say they're interested in their district's 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ : H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the…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 144 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. 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? The probability that fewer than 144 people voted for the referendum is (Round to four decimal places as needed.) Comment on the dangers of using exit polling to call elections. Choose the correct answer below. A. The result is not unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it…To get from Berkeley to the San Francisco airport (SFO) one can either take a shuttle van or drive. Either way, one must cross the San Francisco Bay Bridge. The shuttle van drops its passengers at the airport departure terminal. If one drives, he or she must park in a lot near the airport, then take a parking shuttle from the parking lot to the airport departure terminal. There is a 40% chance that the Bay Bridge will be congested with traffic. If it is, it takes 1.1 hours to drive to the parking lot. If not, it takes 40 minutes to drive to the parking lot. The parking shuttle runs every 10 minutes and takes 10 minutes to get to the airport departure terminal from the parking lot. Suppose it is equally likely that one must wait 0, 1, or 9 minutes for the parking shuttle once getting to the parking lot, and that the amount of time one must wait is independent of the amount of time it takes to drive to the parking lot from Berkeley. 2, If one takes the shuttle van from Berkeley directly…
- The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. . What is the Z CRIT? A + 1.96 B + 1.645 C - 1.96 D - 1.645Helena gathers data about the music preferences of users of a social media application. She gathers information on music events (MEs). In her study, a music event is defined as a posting that has a hashtag or is linked to other video- sharing websites. 1. From her data, Helena claims that about 15% of MEs on the application are hip hop/rap. Juan wants more proof of her claim. • Juan uses technology to determine the genres of music of 100 MEs he chooses at random. He determines that 9 were hip hop/rap. • Juan points out the 9% rate to Helena. Part A Assume Helena is correct and 15% of MEs on the app are hip hop/rap. Use random numbers and a simulated sampling distribution to simulate the outcome of several trials, in which each trial samples 100 MEs from the app and counts the number of hip hop/rap MEs. Make a histogram for your data. Is the model consistent with what you would expect? Explain.900 voters in the town and found that 70% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 66%. Determine the P-value of the test statistic.
