A airline company provides an cheaper ticket that does not include checked in luggage. Customers can however check in their luggage for an additional cost. To manage fuel load in the most profitable way, the airline company wants to know whether the proportion of customers who pay for checked in luggage is different from 0.37. The critical value for the appropriate hypothesis test at a level of significance of 0.1 is

\pm1.645 and the test statistic is 0.677. Which of the following statements are true? (Select all that apply)

a. The p-value will be greater than 0.1

b. We do not reject the null at a 0.1 level of significance

c. We reject the null at a 0.1 level of significance

d. We accept the null at a 0.1 level of significance

e. The p-value will be less than 0.1