The test statistic (Z) is 2.5767, and the p-value of the test is 0.009975. The null hypothesis suggests that the smoking rate among students has not changed, while the alternative indicates otherwise. The z-statistic for the sampled proportion is computed, yielding z ≈ 2.5767. As we investigate whether the smoking percentage has shifted over the preceding five years, the two-tailed p-value is found to be 0.009975. This result is significant at a 99% confidence level, demonstrating substantial evidence that the percentage of smoking students has changed.
The accurate statements include: If 200 students were surveyed, then 28 students would select art as their favorite subject. If 400 students were surveyed, 64 would opt for social studies.
Complete question;
A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a
total of 18 pizzas for the event, totaling $212.
Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.
Answer:
13x + 11y = 212
Step-by-step explanation:
Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.
The overall expenditure on the pizzas was $212.
total number of pizzas = 18
total amount spent on pizzas = $212
x represents the number of pepperoni pizzas
y represents the number of plain pizzas
The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.
Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.
13x + 11y = 212
