Question

Question 5                                                                                                                       [12 marks]

Scientists have shown that getting a good night’s sleep is critical to your health. According to stats Canada, 40% of Canadians get enough sleep each night. A survey of 1,000 BCIT students found 355 of them got enough sleep each night.

At the 5% level of significance, is there evidence that the proportion of BCIT students who got enough sleep is different from the 40% overall in Canada? You must include the null and alternative hypotheses, a diagram, a decision with justification, and a conclusion. [9 marks]

H₀:                                                                                                                                                                                             

H_A:                                                                                                                                                                                            

Test Statistic:                                                            

Decision:                                                                                                                  

Conclusion: Circle the Correct One:

yes or no

2. Calculate the p-value AND confirm that it supports your conclusion in (a) above. [3 marks]

P-Value/Confirm:                                                                                                               

Answer 1