Mathematics
02.01.2023 20:01
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The number of young adult hikers in a country has steadily increased since 2010

The number of young adult hikers in a country has steadily increased since 2010 the equation y=0.89x+9.78 can be used to estimate the number of young adults participating in hiking in the country ,in millions ,x years after 2010 a.) estimate the number of young adult hikers in the country in 2017 ? B.) in what year will 18.8 million young adults participate in hiking in the country ?
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Marcus2935
Marcus2935
4,7(69 marks)

The answer is "0.34 \pm 0.060".

Step-by-step explanation:

Point estimate = Sample proportion = \frac{102}{300}= 0.34

For 95\% confidence, z = 1.96

Hence,

Margin of error= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308  = 0.060

Therefore,

Confidence interval in the tri-equality form:

\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4

Confidence interval using point estimate and margin of error:

p = 0.34 \pm 0.060

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