The number of calls arriving at a switchboard from noon to 1:00 P. M. during the business days Monday through Fri- day is monitored for 6 weeks (i. e., 30 days). Let X be defined as the number of calls during that one-hour period. The relative frequency of calls was recorded as

Value Relative: 5 6 8 9 10
Frequency Value: 0.067 0.067 0.100 0.133 0.200
Relative Frequency: 0.133 0.133 0.067 0.033 0.067

a. Does the assumption of a Poisson distribution seem appropriate as a probability model for this data? Use α= 0.05.
b. Calculate the P-value for this test.