Multiple Questions Answers

Question 1
A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the value of the test statistic.              
-3.47      
-2.36      
-0.14      
3.45       
-2.08

Question 2
A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the p-value.             
1.90%    
0.028%  
1.79%    
3.57%    
25%

Question 3
In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. If possible, find a 95% confidence interval for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.           
36.72% to 45.48%               
not possible        
33.06% to 40.41%               
none of these       
35.22% to 43.98%

Question 4
A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the alternative hypothesis.  
the population average is greater than $70 
none of these       
the population average is less than $70       
the sample average is less than $70              
the population average is $70