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A random sample of20binomial trials resulted in8successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance

A random sample of20binomial trials resulted in8successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.

(a) Can a normal distribution be used for thepdistribution? Explain.

(b) State the hypotheses.

Compute the corresponding standardized sample test statistic.

(d) Find theP-value of the test statistic.

(e) Do you reject or fail to rejectH₀? Explain.

(f) What do the results tell you?

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