A survey asked 1578 US residents: "Do you think the use of marijuana should be made legal, or not?". 61% of respondents said it should be made legal. A newscaster said of this story that "a majority of Americans think marijuana should be legalized". Using R Studio: Use hypothesis testing to see if this newscaster's statement is justified.

One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0      H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…

According to a report done last year by the dental industry, 81% of dentists would recommend Starry Whites toothpaste. After some recent negative publicity, the sales team at Starry Whites suspects the proportion of dentists who now recommend the brand is lower. The team chooses 150 dentists at random and asks them whether they'd recommend the brand. Of those, 118 say they'd recommend it. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to conclude that the proportion, p, of all dentists who now recommend this brand is less than 81%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. ( Ho: Aa O 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.

Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Part (i) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) 95% C.I. Viewing Saved Work…

Perform a hypothesis proportion test for the number of iPhone users on Verizon and AT&T for the following data. Over a 2 day period, recording the number of phone customers for AT&T and Verizon, there were a total of 47 total Verizon customers. 29 of those 47 opened an apple iPhone. For AT&T, there were a total of 41 customers. 22 of those 41 owned an apple iPhone.

Random digit dialing telephone surveys used to exclude cell phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30 years old. Here’s what the Pew survey found about how these people describe their political party affiliation.     Do we reject, or fail to reject, the null hypothesis?

Internet Doctors: Hypothesis Test Use the survey results given in Exercise 1 and use a 0.05 significance level to test the claim that the majority of adults learn about medical symptoms more often from the Internet than from their doctor.

hypothesis testing is the topic