A random sample of 400 SMC students indicated that 271 of them said they drink coffee daily  Find the 97% confidence interval for the true proportion of SMC students that drink coffee daily.  Round the endpoints of the interval to three decimal places.  Assume that the conditions to find the confidence interval are met. 

Suppose you want to test the claim that μ < 35.7. Given a sample size of n = 24 and a level of significance ofα = 0.01, when should you reject the null hypothesis ?

At the beginning of a hypothesis test the ______________________________ is assumed to be a true statement. 

A study is done to compare the mean cost of tuition at a state college in New York and California.  In New York the sample mean annual tuition is found to be $20,956 and in California the sample mean annual tuition is found to be $17,753.  The 95% confidence interval for the mean tuition in New York is ($18,616; $23,296).  The 95% confidence interval for California is ($15,413; $20,093).   Which of the following statements is correct?

Sleep patterns of 6 month old infants are studied.  A researcher measures the sleep time of a random sample of 6 month old infants, recording the hours of sleep over a 24 hour period.  Assume that the sleep times are normally distributed.  Find the 95% confidence interval based on the provided data.   All values are given in hours.  Round the endpoints to one decimal place.  13.3     12.8     12.6     14.3     13.3     12.6     12.8     12.2     12.7

A study is done to look at the cost of a hotel room in Paris and a hotel room in London. The sample mean cost in Paris was $534.50 per night and in London $369.50. The 95% confidence interval for cost in Paris is ($437, $632) and the 95% confidence interval for the cost in London is ($335, $404).  Which of the following statements is correct?

Suppose you want to test the claim that μ 

A college wants to determine the mean amount of credit card debt their students have.  How many students should they poll to determine the mean amount of credit card debt to within $50 at 99% confidence.  Assume that a previous study has shown that the standard deviation of the amount of credit card debt has been estimated to be $395.

A study is to be done to determine the proportion of college graduates that would choose a different major if they could go back and redo college.  What minimum sample size should be used if the researchers would like 90% confidence and a 3.6% margin of error?

For the​ following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest. Justify your response. Researchers asked a random sample of 390 new pet owners if they would consider purchasing pet health insurance.  The confidence interval for a [prop] should be constructed because the variable of interest is [var] and this is [qual].