Pet Ownership A recent random survey of households found that 14 out of 50 householders had a cat and 21 out of 60 householders had a dog. At α = 0.05, test the claim that fewer household owners have cats than household owners who have dogs as pets.

3) A medical association claims that less than 20% of adults in the US are regular smokers of tobacco. To test this claim the survey a sample of 125 US adults and find that 19 of them are regular smokers. Test the medical association's claim using α=0.05.

A study of 200 randomly selected occupants in passenger cars and 250 randomly selected occupants in pickup trucks show that 182 of occupants in passenger cars and 208 of occupants in pickup trucks wear seat belts. At α=0.10, can you reject the claim that the proportion of occupants who wear seatbelts is the same for the passenger cars and pickup trucks?

A researcher was interested whether an individual's preference in political party affiliation was influenced by their level of education and gender. A random sample of participants were recruited, and preferences were scored from 0 - 10 (0 meaning no preference, 10 meaning greater preference). The researcher then divided participants by gender (1 = male/2 = female) and then again by level of education (1 = some school/2 = college/3 = university). Assume alpha at 0.05. Gender Education Level Political Interest 1 10 1 1 9. 1 2 2 1 1 1 1 1 1 4 4 1 9. 1 3 8 What is the dependent variable? What is the appropriate type of statistical analysis to run? What is the conclusion? Please write in APA format.

A youtuber is interested about the participation of its viewers in the games they watch him play on his channel.  The youtuber wants to compare the views he gets from them watching fortnight vs the views he gets from them watching the game Among Us. Use the data given and show in an Excel work sheet to test at an α=0.01 level that there is a difference in the proportion in the number of views he gets from fortnight compared to the views from Among Us.   Fortnight Among Us Total Viewers 35 23 58 Non-Viewers 69 53 122 Total 104 76 180           What is the Null and alternative hypothesis? what would be the Point estimate? P-value? Decision? Interpretation including whether there is evidence in a difference in proportion views fortnight game vs Among us game

A team of engineers at the research center of a car manufacturer performs crash tests to determine the proportion of times the cars' airbags fail to operate in a crash. With the airbag system's new modified design, the team expected to reduce the failed proportion to be below last year's proportion of 0.08. They decided to test HO: p = 0.08 versus Ha: p < 0.08, where p = the proportion of failed airbags during crash tests. If 300 crashes performed in the lab resulted in 18 failures, which of the following is the test statistic for this test?

A sample of 323 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 to 65 mph, whereas a sample of 177 rural residents yielded 75 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents?   (a) Test H0: p1 − p2 = 0 versus Ha: p1 − p2 ≠ 0 using ? = 0.05, where p1 refers to the urban population. (Round your test statistic to two decimal places and your P-value to four decimal places.) z =   P-value =   State the conclusion in the problem context. Fail to reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.Reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.    Fail to reject H0. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of…

A researcher claims that 89% of people sleep with a pillow.  In a random sample of 1000 people, 825 say that they sleep with a pillow.  At α = 0.10, is there enough evidence to reject the researcher’s claim?