Question

1. A ______________ is the distribution of sample statistics computed for samples of the same size from the same population.

1. Sampling Distribution
2. Skewed Distribution
3. Population Distribution
4. Null Distribution
5. t-Distribution

2. Researchers are testing a new mosquito repellent and comparing it to a brand that’s already on the market.  These researchers collect data on 100 people who used the new repellent and 100 people who used the other brand.  They find that 32 out of 100 people using the new repellent were unaffected by mosquitos, while 37% of the second sample were unaffected after using the old brand.  Here, our parameter of interest is

3. Hypothesis tests are conducted assuming

1. nothing.
2. the null hypothesis is true.
3. the alternative hypothesis is true.
4. that the samples are random.

4. Suppose we want to test H₀:  = 0 versus H_a:   0. Which of the following sample statistics would result in the largest p-value for this hypothesis test?

1. -3.59
2. -2.21
3. 0.44
4. 1.97

Answer 1

Solution :

1)

A sampling distribution is the distribution of sample statistics computed for samples of the same size

from the same population.

2)

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.37

H_a : p 0.37

n = 100

x = 32

= x / n = 32 / 100 = 0.32

P₀ = 0.37

1 - P₀ = 1 - 0.3 = 0.63

z = - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.32 - 0.37  / [(0.37 * 0.63) /100 ]

= -1.04

Test statistic = -1.04

P(z < -1.04) = 0.15

P-value = 0.15

= 0.05

P-value >

Fail to reject the null hypothesis .

The alternative hypothesis is true.

3)

P value for the hypothesis test is 0.44 .

Probability range is from 0 to 1 .