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Orlov [11]
3 years ago
11

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

Margin of error at 90% is 0.024

Margin of error at 99% is 0.037

Step-by-step explanation:

Sample size = 1076

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

So, No. of adults said they believe ghosts = \frac{64}{100} \times 1076=688.64\sim 688

So, x = 688

n = 1076

\widehat{p} = \frac{x}{n}

\widehat{p} = \frac{688}{1076}

\widehat{p} = 0.639

ME=z \times \sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}}

z at 90% confidence is 1.64

ME=1.64 \times \sqrt{\frac{0.639(1-0.639)}{1076}}

ME=0.024

So, margin of error at 90% is 0.024

Find the margin of error needed to be 99% confident.

z at 99% confidence is 2.58

ME=2.58 \times \sqrt{\frac{0.639(1-0.639)}{1076}}

ME=0.024

So, margin of error at 99% is 0.037

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Which one is larger and why 12 x 3/7 or 6 x 3/7
Serggg [28]

Answer:12 x 3/7 is larger than 6 x 3/7.

12x3/7=36/7 while 6x3/7=18/7 since both fractions 36/7 and 18/7 have the same denominators, to know which is larger we just check the numerator,the fraction with the largest numerator is largest which is 36/7

Step-by-step explanation:

12x3/7=(12x3)/7=36/7

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Ryan can build 4 desks in a day, so you could express his production as 4d.

Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.

If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:

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