A researcher would like to test the claim that the proportion of middle-aged smokers with a lung capacity under 3 liters is less than the proportion of senior citizen nonsmokers with a lung capacity under 3 liters. A random sample of 46 middle-aged smokers had 32 with lung capacities under 3 liters, and a random sample of 46 senior citizen nonsmokers had 25 with lung capacities under 3 liters. These two independent samples will be used in a hypothesis test of this claim. Which test statistic formula should be used for this test?

A published report claims that 35% of college students have used an online dating site or app.  Believing this claimed value is too low, a researcher surveys a random sample of n = 420 college students about their experiences with online dating sites and apps.  A total of 166 of the surveyed students indicate that they have used online dating sites or apps.   Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.   1.Based on the test statistic you computed to answer Question 11, along with what you see in Table B, what should the P-value be? 2. Based on the P-value you obtained and how it compares to the significance level of 0.05, what is your conclusion?  3. Look again at your answer to Question 13. If a smaller significance level had been chosen—like 0.01—would you have reached a different conclusion?   Please explain. 4. Again, look back at how you answered Question 13. If a larger significance level had been chosen—like 0.10—would you have…

Research by Harvard Medical School experts suggests that boys are more likely to grow out of childhood asthma when they hit their teenage years. Scientists followed over 1000 children between ages of 5 and 12, all of whom had mild to moderate asthma. By the age of 18, 14% of girls and 27% of boys seems to have grown out of asthma. Suppose their analysis was based on 500 girls and 500 boys.(a) Do the hypothesis testing at 5% level of significance to test whether the proportion of boys who grow out of asthma in their teenage years is more than that of girls.(b) Find beta(0.30, 0.15)

Select the appropriate null and alternative hypothesis for the following research question: Does a different proportion of people enjoy playing video games compared to those who enjoy playing sports? phat1 = proportion of people who live in urban areas that prefer to stream tv/movies phat2 = proportion of people who live in rural areas that prefer to stream tv/movies A. Null Hypothesis: People who live in urban areas prefer to stream their tv/movies less than or equal to people who live in rural areas i.e. phat1 <= phat2 Alternative Hypothesis: People who live in urban areas prefer to stream their tv/movies more than people who live in rural areas i.e. phat1 > phat2 B. Null Hypothesis: People who live in urban areas prefer to stream their tv/movies more than or equal to people who live in rural areas i.e. phat1 >= phat2 Alternative Hypothesis: People who live in urban areas prefer to stream their tv/movies less than people who live in rural areas i.e. phat1 < phat2…

Previously, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 135 pregnant mothers and finds that 4 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a= 0.1 level of significance. What are the null and alternative hypotheses? Họ: P = 0.04 versus H,: p < 0.04 (Type integers or decimals. Do not round.) Because npo (1- Po) =U (Round to one decimal place as needed.) 10, the normal model be used to approximate the P-value.

A national poll found that 73% of US adults could distinguish the definition of astrology from astronomy. Hoping that the percentage for TU students is higher, the SGA polls a random sample to test the hypotheses   where p = the true proportion of TU students who can distinguish the definition of astrology from astronomy. If the decision is "do not reject the null", the correct concluson to the hypothesis test is...     There is convincing evidence that the proportion of TU students who can distinguish the definition of astrology from astronomy is more than 73%.     There is not enough evidence to conclude that the proportion of TU students who can distinguish the definition of astrology from astronomy is more than 73%.     There is convincing evidence that the proportion of TU students who can distinguish the definition of astrology from astronomy is equal to 73%.     There is not enough evidence to conclude that the proportion of TU students who can…

According to the national Center for health statistics, 74% of American women have been married by the age of 30. Suppose in a survey of 125 American women ( who are at least 30) and it is found that 91 of them were married at least once. Does the survey provide significant evidence that less than 74% of American women have been married by the age of 30? Test the relevant hypotheses at a significance level of 0.10.

A research firm reported that 15% of those surveyed described their health as poor26as good, 40as very goodand 19% excellent. A professional in Chicago wanted to determine people in Chicago had similar feelings toward their health. a sample of people in Chicago, 70 described their health as poor as good, 220 as very good and excellent Using = 0.05.complete a hypothesis test to determine the distribution is different from the firm's report. Show all steps to hypothesis testing,