The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework.  A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation.  The results of the survey are shown below: Data for Gender vs. Orientation Attendance   Women Men Yes 423 541 No 211 236 What can be concluded at the αα = 0.01 level of significance?   1. For this study, we should use? Select an answer:    z-test for the difference between two population proportions? t-test for a population mean?  t-test for the difference between two dependent population means? t-test for the difference between two independent population means , or  z-test for a population proportion? 2. The null and alternative hypotheses would be:    H0? Select an answer: p1 or  μ1?  Select an answer:  =,  <,  >, or  ≠  Select an answer: μ2  or  p2 ? (please enter a decimal)     H1? Select an answer:  μ1or  p1?  Select an answer: > ,  <,  =, or  ≠  Select an answer p2 or μ2 ?  (Please enter a decimal) 3. The test statistic is?  z or t  =  ___________ (please show your answer to 3 decimal places.) 4. The p-value = ___________ (Please show your answer to 4 decimal places.) 5. The p-value is  ≤ or  >  ?? 6. Based on this, we should? Select an answer:  fail to reject? reject? or  accept? the null hypothesis 7. Thus, the final conclusion is that ...??? The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is the same as the population proportion of freshmen men at Oxnard College who attend orientation. The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is less than the population proportion of freshmen men at Oxnard College who attend orientation. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is less than the population proportion of freshmen men at Oxnard College who attend orientation. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 634 freshmen women who attended orientation is less than the proportion of the 777 freshmen men who attended orientation.

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Author:Amos Gilat
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The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework.  A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation.  The results of the survey are shown below:

Data for Gender vs. Orientation Attendance

  Women Men
Yes 423 541
No 211 236



What can be concluded at the αα = 0.01 level of significance?

 

1. For this study, we should use? Select an answer:    z-test for the difference between two population proportions? t-test for a population mean?  t-test for the difference between two dependent population means? t-test for the difference between two independent population means , or  z-test for a population proportion?

2. The null and alternative hypotheses would be:  

 H0? Select an answer: p1 or  μ1?  Select an answer:  =,  <,  >, or  ≠  Select an answer: μ2  or  p2 ? (please enter a decimal)   

 H1? Select an answer:  μ1or  p1?  Select an answer: > ,  <,  =, or  ≠  Select an answer p2 or μ2 ?  (Please enter a decimal)

3. The test statistic is?  z or t  =  ___________ (please show your answer to 3 decimal places.)

4. The p-value = ___________ (Please show your answer to 4 decimal places.)

5. The p-value is  or  >  ??

6. Based on this, we should? Select an answer:  fail to reject? reject? or  accept? the null hypothesis

7. Thus, the final conclusion is that ...???

  • The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is the same as the population proportion of freshmen men at Oxnard College who attend orientation.
  • The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is less than the population proportion of freshmen men at Oxnard College who attend orientation.
  • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is less than the population proportion of freshmen men at Oxnard College who attend orientation.
  • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 634 freshmen women who attended orientation is less than the proportion of the 777 freshmen men who attended orientation.

 

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