Answer:
Step-by-step explanation:
pop 1 n₁ = 260, p₁ = 58% = 0.58
pop 2 n₂ = 260, p₂ = 8% = 0.08
Null hypothesis: p₁ ≤ p₂
Alternative hypothesis: p₁ > p₂
The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}
where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂
Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.
Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)
= 0.5 / √[0.33(0.67) (0.0076)
= 0.5 / √0.00168036
= 0.5 / 0.04099
= 12.20
P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.
Answer:
4W=25
providing the distances from the hanger wire to the weights are equal.
Step-by-step explanation:
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
A) x=2; i’m guessing if you meant by 4x+1=x+7