how does increasing the sample size influence the size of the t statistic in a hypothesis test. How does it influence the width of a 95% confidence level?

PROBLEM: A psychologist asks a random sample of 30 female adolescents and a separate, random sample of 30 male adolescents how much time they spend communicating with others online on an average day. She compares the time spent communicating online of female adolescents with that of male adolescents. In your project include: The problem and data. Calculate and interpret the correct 90% confidence interval for the mean difference in the two groups average time spent communicating online. (Use the 4 steps) Preform the correct significance test to test the claim that females spend more time than males communicating online. Use a level of significance of 0.05 and then use a level of significance of 0.10. Explain your results for each alpha. (Use the 4 steps) Answer the initial question and explain how you should use the confidence interval AND significance test to answer it. Review the rubric to make sure you include all necessary components. 1. Data: Hours…

According to the most recent General Social Survey, 70% of adults watch TV nightly. A researcher believes that the proportion of college students who watch TV nightly is less than this. To test this claim the research samples 400 college students and finds that 276 watch TV nightly. At the 0.05 level of significance does this data provide evidence to suggest that the proportion of college students who watch TV nightly is less than 70%? Select the correct hypothesis test for this problem:

Several years ago, 35% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,195 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,195 surveyed, 483 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: p versus H,: p (Round to two decimal places as needed.)

Sexual assault in college: In a Washington Post/Kaiser Family Foundation Poll conducted from January through March 2015, 20% of women (ages 17‑26) who attended college during the past 4 years say they were sexually assaulted. The poll surveyed 514 randomly selected females. What is the 90% confidence interval for the proportion of women (ages 17‑26) who attended college during the past 4 years and say they were sexually assaulted?  (0.182, 0.218)  (0.165, 0.235)  (0.155, 0.245)  (0.171, 0.229)

The Pizza Shop wanted to determine what of its customers ordered an only cheese pizza. Out of 90 customers surveyed, 20 ordered only cheese Pizza. What is the 90% confidence interval of the true proportion of customers who order only cheese Pizza?

Several years ago, 42% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,175 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,175 surveyed, 473 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: p versus H1: p (Round to two decimal places as needed.)

ESPN believed that 30 percent of Sportszone visitors were females. To test this hypothesis, it collected audience profile data at the ESPN SportsZone Web site and found that 36% of the visitors were females. Assume that this sample value was based on a sample of 300 users. Test its hypothesis using 95% confidence level.