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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I can’t see it but if I had to say it would be D.
Answer:
y = 5
Step-by-step explanation:
The first term (a1) is 9, and the common difference (d) is 4. Then the general term is ...
an = a1 + (n-1)·d = 9 + 4(n -1) = 4n +5
The "y-intercept" corresponds to the value when n=0. That value is ...
a0 = 4·0 +5 = 5
The y-intercept is 5.
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<em>Comment on the problem</em>
We have computed f(n) for n=0, but we must realize that n=0 is outside the domain of the function. This function only makes sense for integer values of n that are greater than zero. The "real" answer is that the y-intercept is "undefined."
√(48.x⁵) = √[(8)(6)(x⁴)(x¹)] =√[(2².2)(6)(x⁴)(x)] =2x²√(2)(6)(x)
=2x²√12x
Answer:
£700,000
Step-by-step explanation:
(0.07x)+x = 749000
1.07x = 749000
x = 700000
Hence, value of the house before the increase was £700,000