Question

how
to determine the claim in Ho or Ha?

Answer #1

In Null Hypothesis Ho, we assume a claim to be true at first. Then we study all evidences related to it. If we can find convincing evidences so that we can reject the claim then only we can determine that the claim is false, otherwise the claim is considered to be true.

Alternatively, in Alternative Hypothesis Ha, initial claim is assumed to be false at first. Then we study all evidences to determine whether it is false or not. Unless we find data supporting it is convincing otherwise, we consider this to be false as per initial assumption.

You wish to test the following claim (HA) at a significance
level of a= 0.002
Ho: μ = 77.4
Ha : μ > 77.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size
n = 14 with mean M = 82.9 and a standard deviation of SD
=8.6
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
What is the...

(a) Write the claim mathematically and identify Ho and Ha.
(b) Find the critical value(s) and identify the rejection
region(s).
(c) Find the standardized test statistic.
(d) Decide whether to reject or fail to reject the null
hypothesis.
In a sample of 1000 home buyers, you find that 413 home buyers
found their real estate agent through a friend. At alphaαequals=.06
can you reject the claim that 46% of home buyers find their real
estate agent through a friend?

You wish to test the following claim (Ha) at a significance
level of α-0.05. Ho: u = 65.4 Ha: u > 65.4 you believe the
population is normally distributed, but you do not know the
standard deviation. you obtain a sample size n=20 with mean M=71.7
and a standard deviation of SD =7.2. what is the p-value for this
sample? the p-value is less than or greater than α? This p-value
leads to a decision to... reject the null accept...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho: μ = 83.4
Ha: μ > 83.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=54, with
mean M=85.2, and a standard deviation of SD=11.7.
1. What is the test statistic for this sample? (Report
answer accurate to THREE decimal places.)
test statistic =
2. What is the p-value for this sample?...

You wish to test the following claim (Ha) at a significance
level of α=0.002.
Ho : p1 = p2
Ha : p1 < p2
You obtain 34.9% success in a sample of size n1=450 from the first
population. You obtain 41.5% successes in a sample of size n2=638
from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test...

How
do the Null hypothesis( Ho) and alternative hypothesis (Ha) differ
from the original experimental hypothesis?

You wish to test the following claim (Ha) at a significance
level of α=0.01.
Ho: p1 = p2
Ha: p1 ≠ p2
You obtain a sample from the first population with 251 successes
and 541 failures. You obtain a sample from the second population
with 179 successes and 424 failures. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for...

You wish to test the following claim (HaHa) at a significance
level of ?=0.001?=0.001.
Ho:?=53.4
Ha:??53.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
54.6
46.8
37.4
49.0
64.7
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =

You wish to test the following claim (HaHa) at a significance
level of ?=0.05.
Ho:?=73.1
Ha:??73.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=20 with
mean M=80.2 and a standard deviation of SD=10.2
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

You wish to test the following claim (HaHa) at a significance
level of ?=0.002.
Ho:?=69.7
Ha:?<69.7
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=119 with
mean M=66.1 and a standard deviation of SD=13.4.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

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