Read instructions for entering answers carefully.  Previous studies have indicated that approx. 40% of college students work full time.  Joanna thinks that this is higher amongst college students at 2 year community colleges. She took an SRS of 140 college students from the local community college and found that 65 worked full time. Is this sufficient evidence (at the 5% significance level) to support the claim that more than 40% of community college students work full time?   Q1: Fill in the hypothesis.  Null Hypothesis: H0: p =[forty] Alternate hypothesis: Ha: p =[forty2]   Q2:Assuming the null hypothesis is true, the sampling distribution for sample proportions is N([forty3],[sd]) Write both as decimals. Round the standard deviation to 4 decimal places.   Q3: Find the rejection region: Round to 2 decimal places The rejection region on the standard normal curve is ([ll],

IQ scores for Americans are normally distributed with a mean of 100 and a standard deviation of 15 John believes the kids in his AP classes have a higher IQ then the average American (100).  He takes a sample of 6 students and find the following IQ’s: 98, 105, 103, 110, 106. Assuming that the population of honors students have the same standard deviation of scores (100) answer the following for a significance test at 5% significance level   A: This is a [onesample] [means] test B: This is a [rightsided] test C: Which distribution will you use? [Z] D: What is the test statistic? [TS] E: What is the p-value? [p-value] F: What is the conclusion? [conclusion] G: If honors students IQ’s have a true average of 100, what type of error was made? [error]

Joanna wants to estimate the proportion of college students at two year community colleges who work full time. From an SRS of 140 students from local community colleges you find that 65 work full time. Create a 95% confidence interval. Enter the lower value of the interval (rounded to two decimal places)

Joanna wants to compare the percentage of students in 4 year colleges who work full time and the proportion of students in 2 year community colleges who work full time.  She takes an SRS of 140 community college students and finds 65 work full time. She takes a sample of 200 students from 4 year colleges and find that 70 work full time. Is there sufficient evidence to suggest that a different percentage work full time?   Q1: This is a [twosample] [proportions] test.  Q2: This is a [twosided] test Q3: At the 5% significance level the Critical Value(s) defining the rejection region are [CV] Q4: The conclusion is [C1] Q5: If the proportions really are the same, what type of error was made? [error]  

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