Test the hypothesis using the P-value approach. Be sure to verify the requiremen

Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p 0.4 versus H1 p n= 200, x-85: = 0.05 0.4 Calculate the test statistic, Zo. Round to two decimal places as needed) Identify the P-value. P-value = Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. odA. Reject the null hypothesis, because the P-value is greater than . OB. Do not reject the null hypothesis, because the P-value is less than . 0.0 C. Reject the null hypothesis, because the P-value is less than . D. Do not reject the null hypothesis, because the P-value is greater than . Tap

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.4
HA : p > 0.4

Hypothesis test results:

Hence,

z0 = 0.72

p - Value = 0.235

Conclusion: Option D is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 85 200 0.425 0.034641016 0.72168784 0.2352

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