The discrete random variable X∼B(20,0.41)X \sim B(20, 0.41)X∼B(20,0.41)
Find P(3<X≤7)P(3 < X \leq 7)P(3<X≤7)
Previous research by a restaurant found that 30% of customers will order a starter.
On one day a random sample of 40 customers is taken and 7 order a starter.
Test at the 5% significance level whether the proportion of customers ordering a starter has decreased.
State the conclusion you would have reached if you tested at the 10% significance level.
