A paper reported that in a representative sample of 289 American teens age 16 to 17, there were 77 who indicated that they had sent a text message while driving. For purposes of this exercise, assume that this sample is a random sample of 16- to 17-year-old Americans. Do these data provide convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.) z  =    P-value  =

In a previous poll, 46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 515 of 1172 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.05 significance level. Because npo (1- Po) = V 10 and the sample size is V 5% of the population size, and the sample v the requirements for testing the hypothesis v satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H, (Type integers or decimals. Do not round.) Find the test statistic, Zo- Zo (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Is there sufficient evidence that the proportion of families with children…

2. Approximately 11% of all people are left-handed. Consider 20 randomly selected students. In the questions below please provide the probability statements along with calculations and/or calculator functions with inputs wherever possible. a. -) If you are interested in the number of students out of 20 that are left-handed how would you define the random variable X in the context of this problem? What type of distribution would X follow and with what parameters? b. Find the probability exactly none are left-handed.

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 120 students of its 12124 students, 15 were left-handed. Does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? Use a 10% level of significance.