Question

For a test of H0: p = 0.33 vs. Ha: p ≠ 0.33, the sample of size 101 shows 47 successes. Find the z test statistic. Round to two decimal places

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H0 : p = 0.33

Ha : p 0.33

= x / n = 47 / 101 = 0.4653

1 - P0 = 1 - 0.33 = 0.67

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.4653 - 0.33 / [(0.33 * 0.67) / 101]

= 2.89

The z test statistic is **2.89**

Test H0: p= 0.5 vs Ha: p > 0.5 using a
sample proportion of p^ = 0.57 and a sample size of n= 40. What is
the standardized test statistic, z?
A
0.885
B
0.07
C
0.871
D
0.894
Test H0: p= 0.5 vs Ha: p > 0.5 using a
sample proportion of p^= 0.57 and a sample size of n= 40. Using
your standardized test statistic from the previous question,
compute the p-value for this hypothesis test.
Hint: the...

H0: ϻ ≤ 16.74 VS HA: ϻ > 16.74
What is the test statistic for sample of size 22, mean 13.56,
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Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p <
0.75 A sample of 280 items was selected. Compute the p-value and
state your conclusion for each of the following sample results. Use
α = 0.05. (a) p = 0.67 Find the value of the test statistic. (Round
your answer to two decimal places.) Find the p-value. (Round your
answer to four decimal places.) p-value = State your conclusion. Do
not reject H0. There is sufficient evidence to...

Test H0 : p = 0.25 vs Ha : p < 0.25 using the sample results
p^=0.16 with n = 100

Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 500 provided a sample proportion
p = 0.275.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
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H0. There...

Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 400 provided a sample proportion
p = 0.185.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.20.Reject
H0. There is sufficient...

Assume that z is the test statistic.
(a) H0: μ = 22.5,
Ha: μ > 22.5; x = 25.8,
σ = 7.8, n = 29
(i) Calculate the test statistic z. (Round your answer to
two decimal places.)
(ii) Calculate the p-value. (Round your answer to four
decimal places.)
(b) H0: μ = 200,
Ha: μ < 200; x = 191.1,
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(i) Calculate the test statistic z. (Round your answer to
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1. Find the P-value for testing Ho: p= 0.3 vs HA: p< 0.3 if
the test statistic is z= -1.01
2. Find the P-value for testing Ho: p= 0.5 vs HA: p> 0.5 if
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3. Find the P-value for testing Ho: p= 0.72 vs HA: p =/ (does
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: Consider the test of H0 : p = 0.7 Vs. Ha : µ > 0.7 using a
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To test H0: µ = 42.0 vs.
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will be taken from a large population with σ=
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H0 will be rejected if the sample
mean is less than 40.3 or greater than
43.7.
Find and state the level of significance, α, to
three (3) places of decimal.

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