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.
The numbers that are irrational are B. √72 and D.√23.
<h3>What are irrational numbers?</h3>
Irrational numbers are those that have infinite numbers after the decimal. These numbers are also none repeating.
When the above are solved:
√25 = 5
√144 = 12
√23 = 4.79583152331...
√72 = 8.48528137424...
The only two numbers with non-repeating and infinite numbers are √72 and √23.
Find out more on irrational numbers at brainly.com/question/20400557
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Using <span>Pythagorean theorem: c^2 = a^2 + b^2, and if a = 22 and b = 50
c^2=484+2500
c=sqrt 2984
c=55 meters</span>
7 times, means 7 x intercepts, means 7th degree
answer is 7th degree
