Answer:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
<u />
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
<u>9 7.2 0.45 </u>
<u>∑ 0.842 </u>
<u />
5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
<u />
Answer:
15 maybe?
Step-by-step explanation:
42 - 14 = 28
18 - 5 = 13
28 - 13 = 15
subtract the 14 because it says it is in neither.
Subtract 5 from 18 because 18 are in math and only 5 are in both math and science.
Subtract 13 from the 28 because those 13 are in math and wont be in science also.
Answer:
![{8}^{x} = 1](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7Bx%7D%20%20%3D%201)
The exponent 0 makes the number as 1.
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
1/10 means you can divide the land area of Alaska by 10:
1,700,000 / 10 = 170,000 square kilometers.