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Serga [27]
3 years ago
14

A company did a survey to compare the popularity of two web browsers. It was found that 75 students used browser A, and 40 of th

ose students used browser B also. There were 18 students who did not use browser A but used browser B there were 7 students who did not use either browser A or browser B. Using a two-way table, predict the number of students who would use browser B when 300 students participate in the survey. A) 115 B) 133 C) 162 D) 174
Mathematics
1 answer:
den301095 [7]3 years ago
6 0
75 - 40 = 35 students used just browser A;
18 students used just browser B;
40 students used both ( A and B );
7 students did not use either browser A or browser B.
35 + 18 + 40 + 7 = 100
100  students  ------------- 58 use browser A
300 students --------------- x use browser B
x = 58 * 300 / 100 = 58 * 3 = 174
Answer: D ) 174 
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Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

                                                                       = 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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Step-by-step explanation:

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