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The null and alternative hypotheses for a population proportion, as well as the sample results, are...

The null and alternative hypotheses for a population proportion, as well as the sample results, are given. Use StatKey or other technology to generate a randomization distribution and calculate a p-value. StatKey tip: Use "Test for a Single Proportion" and then "Edit Data" to enter the sample information.


Hypotheses: H0:p=0.5 vs Ha:p<⁢0.5;
Sample data: p^=38/100=0.38 with n=100

Round the p-value to three decimal places.

p-value = Enter your answer in accordance to the question statement

math   Statistics-And-Probability   
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Answer #1

Proportion = 0.5

Total number of sample (n) = 100

number of favourable events (X) = 38

We are interested in testing the hypothesis

Since P-value of a two tailed test is equal to

P = (0.008197535924596131)

P = 0.0082

Here, the P-value is less than the level of significance 0.05; reject the null hypothesis

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