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Luden [163]
3 years ago
9

a popular weekly magazine asserts that fewer than 40% of households in the united states have changed their lifestyles because o

f escalating gas prices. a recent survey of 180 households finds that 67 households have made lifestyle changes due to escalating gas prices.the standard error of p(bar) is:the value of the test statistic is:the pvalue is:at a=0.10 and using the p-valuein light of your conclusion, what test error may happen?
Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer: The null hypothesis is not rejected.

Step-by-step explanation:

Since we have given that

n = 180

x = 67

So, \hat{p}=\dfrac{x}{n}=\dfrac{67}{180}=0.372

Hypothesis :

H_0:\hat{p}\geq 0.4\\\\H_1:\hat{p}

So, test statistic value would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.372-0.4}{\sqrt{\dfrac{0.4\times 0.6}{180}}}\\\\z=\dfrac{-0.027}{0.03645}\\\\z=-0.741

At 0.01 level of significance, z = -1.28

So, -1.28<-0.741

So, we will not reject the null hypothesis as p - value = 0.2234.

Hence, the null hypothesis is not rejected.

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of
RUDIKE [14]

Answer:

Part a) V=1,000\ ft^{3}

Part b) h=5\ ft

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Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

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Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

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substitute and solve for h

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h=1,000/(64*3.14)=5\ ft

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remember that

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convert to gallons

remember that

1\ ft^{3}=7.5\ gal

so

95.68\ ft^{3}=95.68*7.5=718\ gal

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