Answer: The probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
Step-by-step explanation:
Since we have given that
Number of times a coin tossed = 500
Number of times head occurs = 416
So, our Z-score would be

So, At significance level of 0.01, p-value of Z-score is .202704.
and p-value < 0.01, i.e. 0.202704<0.832.
Hence, the probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
It is 0% Bc it’s not capital
Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
Answer:
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Step-by-step explanation:
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