Question

15. Calculate the pp-value for each of the given hypothesis test scenarios below. Round pp-values to four decimal places.

- Find the
*p*-value for a left-tailed test of hypothesis for a mean when the test statistic has been calculated as -2.08. Assume the population standard deviation is known. *p*-value=- Find the
*p*-value for a right-tailed test of hypothesis for a mean when the test statistic has been calculated as 1.26. Assume the population standard deviation is known. *p*-value=- Find the
*p*-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as 0.42. *p*-value=- Find the
*p*-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as -1.46. *p*-value=

Answer #1

Solution :-

Given :

test Stat = Z= - 2.08 ( Left tailed test )

By Using Standard Normal table,

**P ( z < - 2.08 ) = 0.0188**

**P - Value = 0.0188**

**-----------------------------------------------------------**

**Given :**

test Stat = Z= 1.26 ( Right tailed test )

P ( z > 1.26 ) =1 - P ( z < 1.26 )

By Using Standard Normal table,

P ( z > 1.26 ) = 1 - 0.8962

**P ( z > 1.26 ) = 0.1038**

**P - Value = 0.1038**

**--------------------------------------------------------------**

**Given :**

Test stat = z = 0.42 ( Two tailed test )

P ( z > 0.42 ) =1 - P ( z < 0.42 )

By Using Standard Normal table,

P ( z > 0.42 ) = 1 - 0.66276

P ( z > 0.42 ) = 0.33724

**For two tailed test**

P - Value = 2 * 0.33724

**P - Value = 0.6745**

**-----------------------------------------------**

**Given :**

Test stat = z = -1.46 ( Two tailed test )

By Using Standard Normal table,

P ( z < - 1.46 ) = 0.07215

**For two tailed test**

P - Value = 2 * 0.07215

**P - Value = 0.1443**

12.
Calculate the critical z-value(s) for each of the given
hypothesis test scenarios below. If mulitple critical values exist
for a single scenario, enter the solutions using a comma-separated
list. Round z-values to two decimal places.
Find the critical z-value(s) for a left-tailed test of
hypothesis for a mean, assuming the population standard deviation
is known, with a sample size of 98 and let α=0.005.
z=
Find the critical z-value(s) for a right-tailed test of
hypothesis for a mean, assuming...

14.
Calculate the critical t-value(s) for each of the given
hypothesis test scenarios below. If mulitple critical values exist
for a single scenario, enter the solutions using a comma-separated
list. Round t-values to four decimal places.
Find the critical t-value(s) for a left-tailed test of
hypothesis for a mean, assuming the population standard deviation
is unknown, with a sample size of 25 and let α=0.005.
t=
Find the critical t-value(s) for a right-tailed test of
hypothesis for a mean, assuming...

1. Your hypothesis test for a proportion has a two-tailed
critical region. The test statistic is z = -2.62. Find the p-value
accurate to 2 decimal places. p-value = ____________
2. Your hypothesis test for a mean with n = 26 has a left-tailed
critical region. The test statistic is tt = -3.26. Find the p-value
accurate to 2 decimal places.
p-value =___________________

An automobile manufacturer has given its jeep a 52.8
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the actual MPG for this jeep since it is
believed that the jeep has an incorrect manufacturer's MPG rating.
After testing 230 jeeps, they found a mean MPG of 52.7. Assume the
population standard deviation is known to be 1.0. Is there
sufficient evidence at the 0.1 level to support the testing firm's
claim?
State the null and alternative...

Using traditional methods it takes 107 hours to receive an
advanced driving license. A new training technique using Computer
Aided Instruction (CAI) has been proposed. A researcher used the
technique on 190 students and observed that they had a mean of 108
hours. Assume the population standard deviation is known to be 6.
Is there evidence at the 0.05 level that the technique lengthens
the training time?
Find the value of the test statistic. Round to two decimal
places. Specify...

A. Find the p-value of a 2 sided 95% confidence test of
hypothesis if the value found for the sample mean was 14.53 the
Null Hypothesis assumes that the population mean is Mu = 14, the
population standard deviation is 3 and the sample size is 14
B. Find the p-value of a 2-sided 95% confidence test of
hypothesis if the value found for the sample mean was 35.71 the
Null Hypothesis assumes that the population mean is Mu =...

1). Conduct the appropriate hypothesis test with the following
information, and provide your p-value as your final
answer. The null hypothesis states that H0:=
250 versus the alternative Ha: > 250. The sample of
size 26 resulted in a mean of 255.0 and a standard deviation of
8.79.
Find the p-value in this example.
2). Conduct the appropriate hypothesis test with the following
information, and provide your p-value as your final
answer. The null hypothesis states that H0: =
0.75 versus the...

A 0.01 significance level is used for a hypothesis test of the
claim that when parents use a particular method of gender
selection, the proportion of baby girls is different from 0.5.
Assume that sample data consists of 45 girls in 81 births, so the
sample statistic of 5/9 results in a z score that is 1 standard
deviation below 0. Complete parts (a) through (h) below.
a. Identify the null hypothesis and the
alternative hypothesis.
b. What is the...

Find the P-value of a test of hypothesis if the value found
for the sample mean was 35.03 the Null Hypothesis assumes that the
population mean is Mu=33, the population standard deviation is 8
and the sample size is
sample size is 12

Consider the following hypothesis test:
H0: µ = 15
Ha: µ ≠ 15
A sample of 50 provided a sample mean of 14.15. The population
standard deviation is 3.
Compute the value of the test statistic. (Round to two decimal
places).
What is the p-value? (Round to three decimal places)
At α=0.05, what is your conclusion? (Reject the null hypothesis)
or (Do not reject the null hypothesis)

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