Question: Nunzio's Nursery sells five special shades of flowering azalea bushes: deep purple, lavender, hot pink, pale pink, and ruby red. The manager claims they stock these plants in the following ratio: \(5:4:3:2:1\). A recent inventory yielded the following numbers of each shade in stock: 40 plants with deep purple flower buds, 27 with lavender buds, 25 with hot pink buds, 19 with pale pink buds, and 4 with ruby red flower buds. Is the manager's claim about how the plants are stocked reasonable, at the 5% level of significance? [COMMENTS & HINTS: How good a fit is the claim to reality? Create a table of observed and expected values for this multinomial data. For full credit, determine the corresponding p-value.]