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In: Statistics and Probability

Exercises 4.59 to 4.64 give null and alternative hypotheses for a population proportion, as well as...

Exercises 4.59 to 4.64 give null and alternative hypotheses for a population proportion, as well as sample results. 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.

4.62 Hypotheses: H0 : p = 0.6 vs Ha : p > 0.6
Sample data: pHat=52/80=0.65 with n=200

In this problem, create and plot the randomization distribution and compute the pValue using rstudio.

Show R studio code/file

Solutions

Expert Solution

The StatKey output is:

The hypothesis being tested is:

H0: p = 0.6

Ha: p > 0.6

Observed Hypothesized
0.5375 0.6 p (as decimal)
43/80 48/80 p (as fraction)
43. 48. X
80 80 n
0.0548 std. error
-1.14 z
.8731 p-value (one-tailed, upper)

The p-value is 0.8731.

Since the p-value (0.8371) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that p > 0.6.

orchestra answered 1 year ago
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