Question

A travel agent claims that fewer than 8% of vacations include a trip to a theme park. A survey of 1960 people who took vacations recently revealed that 133 of them included a visit to a theme park. Test the travel agent's claim using the ?=0.03 significance level.

(a) The test statistic is

(b) The P-value is

(c) The conclusion is

A. There is not sufficient evidence to support the claim that less than 8 % of vacations include a theme park visit.

B. There is sufficient evidence to support the claim that less than 8 % of vacations include a theme park visit

Answer #1

The statistical software output for this problem is:

**One sample proportion summary hypothesis
test:**

p : Proportion of successes

H_{0} : p = 0.08

H_{A} : p < 0.08

**Hypothesis test results:**

Proportion |
Count |
Total |
Sample Prop. |
Std. Err. |
Z-Stat |
P-value |
---|---|---|---|---|---|---|

p | 133 | 1960 | 0.067857143 | 0.0061278887 | -1.9815727 | 0.0238 |

Hence,

a) Test statistic = **-1.9816**

b) P - value = **0.0238**

c) Conclusion: There is sufficient evidence to support the claim that less than 8 % of vacations include a theme park visit.

**Option B** is correct.

A travel agent claims
that fewer than 12% of vacations include a trip to a theme park. A
survey of 1680 people who took vacations recently revealed that 184
of them included a visit to a theme park. Test the travel agent's
claim using the α=0.03 significance level.
(a) The test statistic is
(b) The P-value is

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117 of them included a visit to a theme park. Based on those
survery results, a management consultant claims that less than 88 %
of trips include a theme park visit. Test this claim using the
α=0.01 significance level.
The test statistic is
The critical value is
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included a visit to a theme park. Based on those survery results, a
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The test statistic is:
The critical value is:
The conclusion is A. : There is sufficient evidence to support
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The critical value is_______?

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b) the critical value is ______

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to produce light due to a genetic mutation. Assuming that a
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A.There is sufficient evidence to support the claim that the
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B.There is not sufficient...

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A.
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samples from random days were taken for each train. n � s Morning
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n s
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88,955
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