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MariettaO [177]
4 years ago
11

If a population proportion is believed to be 0.60, how many items must be sampled to ensure that the sampling distribution of th

e sample proportion will be approximately normal
Mathematics
1 answer:
Sergeeva-Olga [200]4 years ago
8 0

Answer:

n \geq 42

Step-by-step explanation:

Data provided

P = 0.6

The calculation of sample size is shown below:-

Here the sampling distribution of proportion will be approximately normal, then follow the rule which is here below:-

np\geq 10\ and\ np (1 - p)\geq 10

Now we will consider condition 2

np(1 - p)\geq \ 10

n(0.6) (1 - 0.6) \geq \ 10

n(0.6) (0.4) \geq\ 10

n\geq \frac{10}{0.24}

n \geq 41.66667

or

n \geq 42

Therefore for computing the required sample size we simply solve the above equation.

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