Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.(a)

• Suppose n = 34 and
• p = 0.22.

(For each answer, enter a number. Use 2 decimal places.) np = nq = Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p _____ be approximated by a normal random variable because _____ _____. nq exceedsnq does not exceed np exceedsboth np and nq exceednp does not exceednp and nq do not exceedfourth blank (Enter an exact number.) What are the values of _p and _p? (For each answer, enter a number. Use 3 decimal places.) _p = mu sub p hat = _p = sigma sub p hat = (b)Suppose

• n = 25 and
• p = 0.15.

Can we safely approximate p by a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p _____ be approximated by a normal random variable because _____ _____. nq exceedsnq does not exceed np exceedsboth np and nq exceednp does not exceednp and nq do not exceedfourth blank (Enter an exact number.) (c)Suppose

• n = 53 and
• p = 0.37.

(For each answer, enter a number. Use 2 decimal places.) np = nq = Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.) _____, p _____ be approximated by a normal random variable because _____ _____. k nq exceedsnq does not exceed np exceedsboth np and nq exceednp does not exceednp and nq do not exceedfourth blank (Enter an exact number.) What are the values of _p and _p? (For each answer, enter a number. Use 3 decimal places.) _p = mu sub p hat = _p = sigma sub p hat =