3x^3 + ax^2 + bx-9 / x-2

E. (−105,265)

Step-by-step explanation:

The confidence interval for the difference between 2 population proportions is:

(p₁ − p₂) ± t √(p₁q₁/n₁ + p₂q₂/n₂)

where p₁ and p₂ are the population proportions,

q is 1 − p,

n is the sample size,

and t is the critical value for the confidence level.

First, calculate the proportions:

p₁ = 48/75 = 0.64

p₂ = 42/75 = 0.56

Now calculate the standard error:

SE = √(0.64×0.36/75 + 0.56×0.44/75)

SE = 0.0797

For large sample sizes, we can approximate the critical value t using z.  At 98% confidence, z = 2.326.

Therefore, the confidence level of the difference in proportions is:

(0.64 − 0.56) ± 2.326 × 0.0797

(-0.105, 0.265)

Since the population is 1000 apples, the confidence interval for number of apples is (-105, 265).