A garden center wants to store leftover packets of approxima

A garden center wants to store leftover packets, of approximately 6500 total vegetable seeds, for sale the following spring. But the garden center is concerned that the seeds may not germinate at the same rate a year later. The manager finds some packets of last year\'s green bean seeds and plants them as a test. Although the packet claims a germination rate of 92%, only 173 of 200 test seeds sprout. Have the seeds lost viability during a year in storage? Use sigma=0.01 and find the p-value using p hat directly.

Solution

Test of p = 0.92 vs p not = 0.92

Sample X N Sample p 99% CI Z-Value P-Value
1 173 200 0.865000 (0.802759, 0.927241) -2.87 0.004

Using the normal approximation.