1. Out of500 people sampled, 140 received flu vaccinations this year. Basedon this, construct a 95% confidence interval for the truepopulation proportion of people who received flu vaccinations thisyear.
Give your answers as decimals, to three places
< p <
2. You areconducting a study to see if the proportion of men over 50 whoregularly have their prostate examined is significantly more than0.68. You use a significance level of ?=0.05?=0.05.
H0:p=0.68H0:p=0.68
H1:p>0.68H1:p>0.68
You obtain a sample of size n=432n=432 in which there are 314successes.
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
What is the p-value for this sample? (Report answeraccurate to four decimal places.)
p-value =
The p-value is... less than (or equal to) ??greater than ??
This test statistic leads to a decision to... reject the nullacceptthe nullfail to reject thenull As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of theclaim that the proportion of men over 50 who regularly have theirprostate examined is more than 0.68.
There is not sufficient evidence to warrant rejection ofthe claim that the proportion of men over 50 who regularly havetheir prostate examined is more than 0.68.
The sample data support the claim that the proportion ofmen over 50 who regularly have their prostate examined is more than0.68.
There is not sufficient sample evidence to support theclaim that the proportion of men over 50 who regularly have theirprostate examined is more than 0.68.
The effectiveness of a blood-pressure drug is beinginvestigated. An experimenter finds that, on average, the reductionin systolic blood pressure is 47.3 for a sample of size 1066 andstandard deviation 6.8. Estimate how much the drug will lower atypical patient's systolic blood pressure (using a 95% confidencelevel).
Enter your answer as a tri-linear inequality accurate to onedecimal place (because the sample statistics are reported accurateto one decimal place).