I need help with C & D!!!
1 answer:
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Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5, = 25,
= 3.536
Using the z test statistics;
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
Answer:
The sample size is
Step-by-step explanation:
From the question we are told that
The sample standard deviation is
The mean difference of the two groups is
The standard error is
=>
Let assume that the confidence level is 95% hence the level of significance is
=>
So the critical value of obtained from the normal distribution table is
Generally the margin of error is mathematically evaluated as
Generally the sample size is mathematically represented as
=>
=>