Find the p-value based on a standard normal distribution for the standardized te

Question

Find the p-value based on a standard normal distribution for the standardized test statistic and provided alternative hypothesis. 1. z = -1.86 for : 0.5 H p a A) 0.031 B) 0.969 C) 0.062 D) 0.937

2. z = 2.36 for : 86 Ha A) 0.982 B) 0.0182 C) 0.991 D) 0.0091

3. z = 1.75 for 1 2 : Hp p a A) 0.960 B) 0.040 C) 0.080 D) 0.920

Find the z* values based on a standard normal distribution for each of the following.

1. An 86% confidence interval for a proportion A)  1.080      B)  1.476      C)  0.994     D)  1.96

2. An 88% confidence interval for a correlation. A)  2.575     B)  1.175      C)  2.326      D)  1.555   

3. A 78% confidence interval for a mean. A)  0.772      B)  1.227      C)  1.514      D)  1.126   

C) Use the following to answer questions 13(6 Points – 2 Pts each): Consider taking samples of size 100 from a population with proportion 0.33.

1. Find the mean of the distribution of sample proportions. A)  0.0033      B)  0.033      C)  0.33      D)  33   

2. Find the standard error of the distribution of sample proportions. A)  0.002211      B)  0.0033      C)  0.047      D)  0.33

3. Is the sample size large enough for the Central Limit Theorem to apply so that the sample proportions follow a normal distribution? A)  Yes      B)  No   

D) Use the following to answer questions 13 (6 Points – 2 Pts each): Consider taking samples of size 25 from a population with proportion 0.65.

1. Find the mean of the distribution of sample proportions. A)  0.026      B)  0.65      C)  0.13      D)  16.25   

2. Find the standard error of the distribution of sample proportions. A)  0.0954      B)  0.0091      C)  0.0455     D)  0.0191   

3. Is the sample size large enough for the Central Limit Theorem to apply so that the sample proportions follow a normal distribution? A)  Yes     B)  No

Explanation / Answer

Find the z* values based on a standard normal distribution for each of the following.

1. An 86% confidence interval for a proportion A)  1.080      B)  1.476      C)  0.994     D)  1.96

Lets see the Z tables. 86% is 43% both sides of mean. i.e. 93% cumulatively.

So, we get Z for .93 now, 1.476

2. An 88% confidence interval for a correlation. A)  2.575     B)  1.175      C)  2.326      D)  1.555   

Z = 1.555 ( its at p of .44/2 +.4 = .94)

3. A 78% confidence interval for a mean. A)  0.772      B)  1.227      C)  1.514      D)  1.126   

Z = 1.227 ( its at p of .78/2 +.5 = .89)

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