A multinomial experiment produced the following results: (You may find it useful to reference the appropriate table: chi-square table or F table)
Category | 1 | 2 | 3 |
Frequency | 117 | 100 | 83 |
a. Choose the appropriate alternative hypothesis at H0: p1 = 0.50, p2 = 0.30, and p3 = 0.20.
All population proportions differ from their hypothesized values.
At least one of the population proportions differs from its hypothesized value.
b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
c. Find the p-value.
p-value < 0.01
d. At 1% significance level, can we reject H0: p1 = 0.50, p2 = 0.30, and p3 = 0.20?
Solution:
a. Choose the appropriate alternative hypothesis at H0: p1 = 0.50, p2 = 0.30, and p3 = 0.20.
Answer: At least one of the population proportions differs from its hypothesized value.
b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
Answer: 17.188
Explanation:
c. Find the p-value.
Answer: p-value < 0.01
d. At 1% significance level, can we reject H0: p1 = 0.50, p2 = 0.30, and p3 = 0.20?
Yes since the p-value is less than the significance level.
A multinomial experiment produced the following results: (You may find it useful to reference the appropriate...
Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table) H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 250 x2 = 275 n1 = 400 n2 = 400 a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal...
Consider a multinomial experiment with n = 260 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table) Category 1 2 3 4 Frequency 73 44 75 68 a. Choose the appropriate alternative hypothesis. All population proportions differ from 0.25. Not all population proportions are equal...
In order to conduct a hypothesis test for the population
proportion, you sample 450 observations that result in 189
successes. (You may find it useful to reference the
appropriate table: z table or t
table)
H0: p ≥ 0.45;
HA: p < 0.45.
a-1. Calculate the value of the test statistic.
(Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4 decimal places and final
answer to 2 decimal places.)
TEST STATISTIC =
a-2....
Consider the following competing hypotheses:
H0: ρxy ≥ 0
HA: ρxy < 0
The sample consists of 30 observations and the sample correlation
coefficient is –0.46. [You may find it useful to reference
the t table.]
a-1. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)
a-2. Find the p-value.
p-value < 0.01
p-value
0.10
0.05
p-value < 0.10
0.025
p-value < 0.05
0.01
p-value <...
Consider the following competing hypotheses and accompanying sample data (You may find it useful to reference the appropriate table: z table or t table) Ho: Pi - P22 MA: P1 - P2 @ X1 - 238 nu - 425 X2 - 263 n2 - 425 a. Calculate the value of the test statistic (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic...
Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table) H0: μD ≥ 0; HA: μD < 0 d¯d¯ = −3.2, sD = 6.0, n = 23 The following results are obtained using matched samples from two normally distributed populations: a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least...
At a certain hotel, guests have come from the following locations: Use Table 3. Category North America Asia Other TOTAL Proportion 60 30 10 100 Category North America Asia Other Frequency 238 107 45 a. Choose the appropriate alternative hypothesis at H0: p1 = 0.60, p2 = 0.30, and p3 = 0.10. All population proportions differ from their hypothesized values. At least one of the population proportions differs from...
Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the a table: z table or ttable) He: P1 - P2 = 0.20 HA: P1 - P20.20 25 points *1 = 126 y = 243 X2 = 125 = 480 8 03.06.08 a. Calculate the value of the test statistic. (Round Intermediate calculations to at least 4 decimal places and final answer decimal places.) eBook Test statistic References b. Find the p-value. 0.01 s...
Consider the following hypotheses:
H0: μ ≤ 270
HA: μ > 270
Find the p-value for this test based on the following
sample information. (You may find it useful to reference
the appropriate table: z table or t
table)
a. x¯x¯ = 277; s = 23; n =
18
0.025
p-value < 0.05
0.01
p-value < 0.025
p-value 0.10
0.05
p-value < 0.10
p-value < 0.01
b. x¯x¯ = 277; s = 23; n =
36
p-value
0.10
0.025
p-value <...
Consider the following hypotheses: H0: μ ≤ 610 HA: μ > 610
Find the p-value for this test based on the following sample
information. (You may find it useful to reference the appropriate
table: z table or t table)
a. x¯ = 618; s = 24; n = 26
p-value 0.10
0.05p-value
< 0.10
0.01
p-value < 0.025
p-value < 0.01
0.025 p-value < 0.05
b. x¯ = 618; s = 24; n = 52
0.025p-value
< 0.05
p-value
0.10...