A consulting firm gathers information on consumer preferences around the world to help companies monitor attitudes about​ health, food, and healthcare products. They asked people in many different cultures how they felt about the statement​ "I have a strong preference for regional or traditional products and dishes from where I come​ from." In a random sample of 810 ​respondents, 433 of 661 people who live in urban environments agreed​ (either completely or​ somewhat) with that​statement, compared to 75 out of 149 people who live in rural areas. Based on this​ sample, is there evidence that the percentage of people agreeing with the statement about regional preferences differs between all urban and rural​ dwellers?   Write the appropriate hypotheses to conduct a hypothesis test. Let p1 be the proportion of people living in urban environments that agree with the statement. Let p2 be the proportion of people living in rural environments that agree with the statement. Choose the correct answer below.     A. H0​: p1−p2=0 HA​: p1−p2>0   B. H0​: p1−p2=0 HA​: p1−p2≠0   C. H0​: p1−p2≠0 HA​: p1−p2=0   D. H0​: p1−p2>0 HA​: p1−p2=0   Determine the test statistic.   z=nothing ​(Round to two decimal places as​ needed.) Find the​ P-value.   P=nothing ​(Round to three decimal places as​ needed.) State the conclusion. Use a significance level of α=0.1. Choose the correct answer below.   ▼   Reject Do not reject the null hypothesis. There ▼   is is not sufficient evidence that the proportions of people that agree with the statement are different in urban and rural environments.

Whether or not to continue a Mardi Gras Parade through the downtown area of a certain town is a hotly debated topic. The parade is popular with students and many residents, but some celebrations have led to complaints and a call to eliminate the parade. The local newspaper conducted online and telephone surveys of its readers and was surprised by the results. The online survey site received more than 300 responses, with more than 60% favoring continuing the parade, while the telephone response line received more than 150 calls, with more than 90% favoring banning the parade. What factors may have contributed to these very different results? (Select all that apply.) O People waver between two opinions. O Different subpopulations used the website and the telephone. O People were forced to lie about their preferences. The size of samples is too small to avoid chance variation.

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 180 out of a random sample of 250 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. a.) State the null hypothesis H0 and the alternative hypothesis H1. b.) Determine the type of test statistic to use (Z, t (with t, degrees of freedom is needed), Chi-Square, or F). c.) Find the value of the test statistic. (Round to three or more decimal places.) d.) Find the p-value. (Round…

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 199 out of a random sample of 275 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 0.01 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. H₁ :0 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…