2 years ago

13x-5 Ugh help please

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

7 0

$\huge\bf\red{answer}$

<h2>The expression is not factorable with rational numbers.</h2>

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a nationwide study of american homeowners revealed that 65% own at least one lawn mower. a lawn equipment manufacturer, locate

svetoff [14.1K]

Answer:

$z=\frac{0.6841 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.5938$

We have a right tailed test then the p value would be:

$p_v =P(z>1.5938)=0.0555$

Step-by-step explanation:

Information provided

n=497 represent the random sample of homes selected

X=340 represent the number of homes with one or more lawn

$\hat p=\frac{340}{497}=0.6841$ estimated proportion of homes with one or more lawn

$p_o=0.65$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value (variable of interest)

System of hypothesis

We want to check if proportion of homeowners owning lawn mowers in charlotte is higher than 65%m so then the correct hypothesis are .:

Null hypothesis: $p\leq 0.65$

Alternative hypothesis: $p > 0.65$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.6841 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.5938$

We have a right tailed test then the p value would be:

$p_v =P(z>1.5938)=0.0555$

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