and Nobel Laureate, Linus Pauling (1901-1994). The chemist nterested in knowing if Vitamin C helps prevent getting a col Below you are given the incidence of cold among 290 French who were randomized to receive Vitamin C or a placebo. SAMPLE # WHO GOTA SIZE COLD

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The following dataset is from a study by the well-known chemist and Nobel Laureate, Linus Pauling (1901-1994). The chemist is interested in knowing if Vitamin C helps prevent getting a cold. Below, you are given the incidence of cold among 290 French skiers who were randomized to receive Vitamin C or a placebo.

|                             | SAMPLE SIZE | # WHO GOT A COLD |
|-----------------------------|-------------|------------------|
| Received Vitamin C (Sample 1) | 140         | 42               |
| Received Placebo (Sample 2)   | 150         | 60               |

What is the pooled estimate of p? This is the pooled estimate, which is the overall proportion that get a cold out of all the people who were sampled.

[ Select ]
Transcribed Image Text:The following dataset is from a study by the well-known chemist and Nobel Laureate, Linus Pauling (1901-1994). The chemist is interested in knowing if Vitamin C helps prevent getting a cold. Below, you are given the incidence of cold among 290 French skiers who were randomized to receive Vitamin C or a placebo. | | SAMPLE SIZE | # WHO GOT A COLD | |-----------------------------|-------------|------------------| | Received Vitamin C (Sample 1) | 140 | 42 | | Received Placebo (Sample 2) | 150 | 60 | What is the pooled estimate of p? This is the pooled estimate, which is the overall proportion that get a cold out of all the people who were sampled. [ Select ]
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Step 1

Let x1 denote the number of people who received vitamin C who got cold .

Let x2 denote the number of  people who received Placebo who got cold.

Let n1 denote the sample size who received vitamin C who got cold .

Let n2 denote the sample size who received Placebo who got cold.

From the available information,

X1 = 42, X2=60

n1=140,  n2= 150

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