Describe the transformations.

Mathematics

1 answer:

Serggg [28]4 years ago

6 0

Given the function $f(x)$

$f(x)+k$ — will shift the graph vertically by <em>k</em>

$f(x-k)$ — will shift the graph horizontally by <em>k</em>

$kf(x)$ — will stretch the graph vertically by <em>k</em>

$f(kx)$ — will stretch the graph horizontally by <em>k</em>

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Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their

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Answer:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

Step-by-step explanation:

Information given

$X= 48$ number of people who rent their home

$n= 250$ represent the sample size

$\hat p =\frac{48}{250}= 0.192$ represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: