Question

A poll surveyed 341 video gamers, and113 of them said that they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that more than 28% of gamers prefer consoles. Does the poll provide convincing evidence that the claim is true? Use the α=0.10 level of significance and the P-value method with the Cumulative Normal Distribution Table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. Round the answer to at least three decimal places. (c)Determine whether to reject H0.

Answer #1

A)

Null hypothesis Ho : P = 0.28

Alternate hypothesis Ha : P > 0.28

B)

N = 341

First we need to check the conditions of normality that is if n*p and n*(1-p) both are greater than 5 or not

N*p = 95.48

N*(1-p) = 245.52

Both the conditions are met so we can use standard normal z table to estimate the P-Value

Test statistics z = (oberved p - claimed p)/standard error

Standard error = √{claimed p*(1-claimed p)/√n

Observed P = 113/341

Claimed P = 0.28

N = 341

After substitution

Test statistics z = 2.113

C)

From z table, P(z>2.11) = 0.0174

P-value = 0.0174

As 0.0174 < 0.1 (given significance)

We reject the null hypothesis Ho.

A poll surveyed 341 video gamers, and 85 of them said that they
prefer playing games on a console, rather than a computer or
hand-held device. An executive at a game console manufacturing
company claims that less than 26% of gamers prefer consoles. Does
the poll provide convincing evidence that the claim is true? Use
the =α0.10 level of significance and the P-value method with the
Cumulative Normal Distribution Table.
(a) State the appropriate null and alternate hypotheses.
H0:
H1:...

Game consoles: A poll surveyed 341 video gamers, and 85 of them
said that they prefer playing games on a console, rather than a
computer or hand-held device. An executive at a game console
manufacturing company claims that less than 26% of gamers prefer
consoles. Does the poll provide convincing evidence that the claim
is true? Use the a=0.10 level of significance and the -value method
with the TI-84 Plus calculator.
(a) State the appropriate null and alternate hypotheses.
Ho:...

Game consoles: A poll surveyed
341
video gamers, and
72
of them said that they prefer playing games on a console, rather
than a computer or hand-held device. An executive at a game console
manufacturing company claims that the proportion of gamers who
prefer consoles differs from
26%
. Does the poll provide convincing evidence that the claim is
true? Use the
=α0.05
level of significance and the
P
-value method with the TI-84 Plus calculator.
Part 1 of 4...

A poll taken by the Software Usability Research Laboratory
surveyed 341 video gamers, and 110 of them said that they prefer
playing games on a console, rather than a computer or hand-held
device. An executive at a game console manufacturing company claims
that more than 25% of gamers prefer consoles. Does the poll provide
convincing evidence that the claim is true? Use α = .01 level of
significance. PLEASE SHOW ALL 4 STEPS OF THE HYPOTHESIS TEST.

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