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Maslowich
3 years ago
14

A marketing manager for a cell phone company claims that the percentage of children aged - who have cell phones differs from . I

n a survey of children aged - by a national consumers group, of them had cell phones. Can you conclude that the manager's claim is true
Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

Yes, the marketing manager's claim is true.

Step-by-step explanation:

p = 0.61

Phat = 545 /826 = 0.66

H0 : p = 0.61

H1 : p ≠ 0.61

The test statistic :

(Phat - p) / √pq/n

q = 1 -p = 1 - 0.61 = 0.39

(0.66 -0.61) / √(0.61*0.39)/826

0.05 / 0.0169709

Test statistic = 2.95

Using the p-value from Zscore calculator:

Pvalue at 2.95, two tailed ;

Pvalue = 0.0032

Reject H0; if Pvalue < α

Since, Pvalue < α ; Then, the marketing manager's claim is true

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Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. U
kogti [31]

Answer:

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Forecast of rain.

Event B: Raining.

In recent years, it has rained only 5 days each year.

A year has 365 days. So

P(B) = \frac{5}{365} = 0.0137

When it actually rains, the weatherman correctly forecasts rain 90% of the time.

This means that P(A|B) = 0.9

Probability of forecast of rain:

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10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

P(A) = 0.0137*0.9 + 0.9863*0.1 = 0.11096

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

P(B|A) = \frac{0.0137*0.9}{0.11096} = 0.1111

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

3 0
3 years ago
Image down below. Please anwer asap
Westkost [7]
It’s the 2nd one...
5 0
3 years ago
Read 2 more answers
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