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.
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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>
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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.
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Answer:
89
Step-by-step explanation:
1. She spent a total of 23 + 30 + 16 = 69 dollars.
2. That means she had at least 69 dollars to spend. But if it were 69 dollars, that would mean she had 0 remaining dollars because she spent it all.
3. But she had 20 dollars left after she spent the 69 dollars.
4. So that means she had 89 dollars before making the purchase
Answer by JKismyhusbandbae:
x - 10 ≤ 19
x - 10 + 10 ≤ 19 + 10
x ≤ 29
x - 10 ≥ - 19
x - 10 + 10 ≥ - 19 + 10
x ≥ - 9
Answer: - 9 ≤ x ≤ 29
Answer:
(-5, -8)
Step-by-step explanation:
-3x+3y=-9
-3x+y=7
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simplify -3x+3y=-9 into x-y=3
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y=x-3
-3x+y=7
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-3x+(x-3)=7
-3x+x-3=7
-2x-3=7
-2x=7+3
-2x=10
x=10/-2=-5
y=-5-3=-8
x=-5, y=-8
Answer:
circumference=pieD
3.14×15
=47.1m
Step-by-step explanation:
hope it helps