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:
<em>Option B</em>
Step-by-step explanation:
<u>Congruent Triangles</u>
The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both triangles are congruent, then the two triangles are similar.
The triangles are congruent if the relation between LK and KN is the same as the relation between KN and MN, that is
It means that
MN=1
Option B
Answer:
Hence, option (b) - 13w - 7 is correct.
Hope it helps you mate :)
Answer:
Step-by-step explanation:
Day 1 = 6
Day 2 = 5
Day 3 = 5
Day 4 = 6
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units