Two candidates for governor participated in a televised debate. A political pollster recorded the preferences of 500 registered voters in a random sample before and after the debate: Preference After Debate Preference Total Before Debate Candidate A Candidate B Candidate A 269 21 290 Candidate B 36 174 210 Total 305 195 500 a. At the 0.02 level of significance, is there evidence of a difference in the proportion of voters who favored Candidate A before and after the debate? b. Compute the p-value and interpret its meaning.

What is meant by the sample space of an experiment?

What is a sample space?

List the sample space of each experiment. Rolling one die and tossing one coin

The Monterey Bay Aquarium, founded in 1984, is situated on the beautiful coast of Monterey Bay in the historic Cannery Row district. In 1985, the aquarium began a survery program that involved randomly sampling visitors as they exit for the day. The survey includes visitor demographic information, use of social media, and opinions on their aquarium visit. In 2015, the survey included 356356 visitors over age 6565 , of which 5252 used a mobile device such as an Android phone or iPad during their visit. (a) What is the margin of error ?m , of the large‑sample 95%95% confidence interval for the proportion of visitors over 6565 who used a mobile device during their visit? (Enter your answer rounded to four decimal places.)

The Monterey Bay Aquarium, founded in 1984, is situated on the beautiful coast of Monterey Bay in the historic Cannery Row district. In 1985, the aquarium began a survery program that involved randomly sampling visitors as they exit for the day. The survey includes visitor demographic information, use of social media, and opinions on their aquarium visit. In 2015, the survey included 356356 visitors over age 6565 , of which 5252 used a mobile device such as an Android phone or iPad during their visit. (b) How large a sample ?n , is needed to get the common ±3±3 percentage point margin of error? Use the 2015 sample as a pilot study to get ?∗p∗ . (Enter your answer as a whole number.)

A popular Italian eatery has had a dispute among the wait staff regarding the amount of tips waiters receive on the lunch shift and on the dinner shift. Before making any adjustments in schedules or other policies, the restaurant manager wants to estimate the difference in the average tips eamed by waiters on the lunch schedule and on the dinner schedule. To do this, she randomly selected 60 tip reports for lunch servers over the past year and 50 tip reports from dinner servers. The results given below were observed. Assuming equal population variances, develop and interpret an 80% confidence interval estimate for the difference between the population mean tips earned by lunch servers and by dinner servers. Mean Tips St. Dev. Tips Lunch $64.40 $11.90 The mean tips earned Dinner $101.90 $13.02 Let sample 1 be the sample from the lunch servers and let sample 2 be the sample from the dinner servers. The 80% confidence interval is (Round to two decimal places as needed.) 40.57 S (H₁-H₂) =…

In a study, a CSULB professor wants to estimate the average grade point averages (GPA) of all students at CSULB.   15 students were randomly surveyed for his study. The GPA of the selected college students are 2.3, 3.3, 2.6, 1.8, 0.2, 3.1, 4.0, 0.7, 2.3, 2.0, 3.1, 3.4, 1.3, 2.6, 2.6. After calculation, the sample mean is 2.35 and the sample standard deviation is 1.03. Assume the population distribution is approximately normal.  What is a 90% confidence interval for the population mean?

A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random sample of n = 5 students from each grade and compared absences among the four grades using ANOVA. The data are below:

A manager for an insurance company believes that customers have the following preferences for life insurance products: 10% prefer Whole Life, 40% prefer Universal Life, and 50% prefer Life Annuities. The results of a survey of 351 customers were tabulated. Is it possible to refute the sales manager's claimed proportions of customers who prefer each product using the data?Product NumberWhole 189Universal 116Annuities 46f) Find the value of the test statistic. Round your answer to three decimal places.i) Make the decision to reject or fail to reject the null hypothesis at the 0.1 level of significance.j) State the conclusion of the hypothesis test at the 0.1 level of significance.