Discuss the below:
Q1) Ms. Maria Wilson is considering running for mayor of the town of Bear Ghulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 400 voters reveas that 300 would support her in the November election.
a) estimate the value of the population proportion.
b) compute the standard error of the proportion.
c) develop a 99 percent confidence interval for the population proportion
d) interpret your findings
Q2)The postanesthesia care area (recovery room) at St. Luke's Hospital in Maumee, Ohio, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days reveals the follwing numbers of patients. 25 27 25 26 25 28 28 27 24 26 25 29 25 27 24
At the .01 significance level, can we conclude that the mean number of patients per day is moire than 25? Estimate the p-value and interpret it.
Q3)A nationwide sample of influetial Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The result were:
Republicans Democrats
Number sampled 1,000 800
Number in favor 200 168
At the .02 level of significance, can we conclude tht there is a larger proportion of Democrats in favor of lowering the standards?
Q4) The null and alternative hypotheses are :
H0: μσ = 0
H1: μσ ≠ 0
The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the South Carolina Highway Patrol for the last five months.
Day
May June July August September
Officer Dhondt 30 22 25 19 26
Officer Meredith 26 19 20 15 19
At the .05 significance level, is there a difference in the mean number of citations given by the two officers?