A random sample of30binomial trials resulted in12successes. 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 thedistribution? Explain.

Yes,npandnqare both less than 5.

No,nqis greater than 5, butnpis less than 5.

Yes,npandnqare both greater than 5.

No,npis greater than 5, butnqis less than 5.

No,npandnqare both less than 5.

(c)Compute. (Enter a number.)

p hat =

Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.)

(d)Find theP-value of the test statistic. (Enter a number. Round your answer to four decimal places.)