There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the
1 answer:
Answer:
Probability that the result is a multiple of 4 or a multiple of 3= 0.428
Step-by-step explanation:
The spinner is divided into 14 equal areas.
Probability of an event=
For favourable events,result should be a multiple of 3 or 4.
All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14
- Multiples of 3=3,6,9,12
- Multiples of 4=4,8,12
Hence the favourable outcomes are=3,4,6,8,9,12
Number of favourable outcomes=6
Total number of outcomes=14
Probability=
=0.428
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Answer:
There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 300
p = 5% = 0.05
Alpha, α = 0.05
Number of dead pixels , x = 24
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from excel.
P-value = 0.00856
Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.