Economics homework help
Each of the following problems uses a procedure that can be found in the PHStat menu, under Confidence Intervals, Sample Size, or One Sample Tests. Each question relies on the data in your Housing and Donations datafile.
- Using PHStat/Excel, estimate the population mean level of annual charitable donations at the 99% confidence level. Remember: you do NOT know what the standard deviation of the population of donations is. (5 points)
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- Using PHStat/Excel, estimate the population proportion of all respondents who think their housing situation is “Comfortable and Safe” at the 95% confidence level. (5 points)
- If we were to conduct a survey to determine the mean annual housing expenses for ALL households in the US, how large a sample of cities should we take if we want the point estimate (sample mean) to be within $1000 of the true population mean, at the 95% confidence level? Use PHStat/Excel to determine this sample size. (5 points)
- Test the hypothesis that the population mean level of annual charitable donations is more than $1000 at the 0.05 significance level (alpha). Think carefully about what the null hypothesis is and whether this is a two tail, lower tail, or upper tail test. (5 points)