(06.01 LC) What conditions must be met to use z procedures in a

significance test about a population proportion? (4 points)

1. The sample size is greater than 30.

II. The population is greater than 10 times the sample size.

III. The probability of success multiplied by the sample size is

greater than or equal to 10, and the probability of failure

multiplied by the sample size is greater than or equal to 10.

1. The sample size is greater than 30.

Step-by-step explanation:

z test is a statistical test, used for hypothesis testing, for verifying statistical significance of a population parameter (from sample statistic)

It is used when in case when the sample size is large, ie greater than 30. It is used when the data follows normal distribution. In case of small sample size, ie less than 30, t test is used.

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°