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

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.

If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-two Percent of People on High-Risk Coast Will Refuse Evacuation Order, Survey of Hurricane Preparedness Finds." This headline was based on a survey of 4229 adults who live within 20 milesof the coast in high hurricane risk counties of eight southern states. In selecting the sample, care was taken to ensure that the sample would be representative of the population of coastal residents in these states. (a) Use this information to estimate the proportion of coastal residents who would evacuate using a 98% confidence interval. (Round your answers to three decimal places.)(   ,   )

A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 13% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 204 people on the alumni and supporters mailing lists. They receive monetary contributions from 19 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is suficient evidence at 0.02 level of significance that the direct mail campaign is not cost effective. B. We fail to reject the null hypothesis and conclude that there is suficient evidence at 0.02 level of significance that the direct mail campaign is not cost effective. C. We fail to reject the null hypothesis and…