STATISTICS Week 8 12 Questions

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1. Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

Compute the z or t value of the sample test statistic.  
 
 
 

 

 

2. Which of the following statements are true of the null and alternative hypotheses?

 
 
 

 

 

3.A two-tailed test is one where:

 
 
 

 

 

 

 

 

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. 
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 

At a university, the average cost of books per student has been $600 per student per semester. The Dean of Students believes that the costs are increasing and that the average is now greater than $600.  He surveys a sample of 40 students and finds that for the most recent semester their average cost was $645 with a standard deviation of $75.  What is the test value for this hypothesis test? 

Test value: 
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A one-tailed alternative is one that is supported by evidence in either direction.
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Using the confidence interval when conducting a two-tailed test for the population proportion p, we reject the null hypothesis if the hypothesized value for p falls inside the confidence interval.
 

 

 
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