Anna has two aunts, Gertie and Samantha, and one uncle, Jimbo. Jimbo has a nephew on Anna's Side of the family, Timothy, Who has
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Answer:
As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.
Step-by-step explanation:
The hypothesis to determine which team spectators at a football game support is:
<em>H₀</em>: There are equal proportions of people supporting the home team and the visiting team, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a higher proportion of people supporting the home team than the visiting team, i.e. <em>p</em>₁ > <em>p</em>₂.
A <em>z</em>-test for difference between proportions can be used to perform the test.
The test statistic is:
Th decision rule is:
If the <em>p</em>-value of the test is less than the significance level <em>α </em>then the null hypothesis will be rejected and vice-versa.
The commonly used significance levels are 0.01, 0.05 and 0.10.
The <em>p</em>-value of the test is computed as, <em>p</em> = 0.002.
The <em>p</em>-value of the test is less than all the significance level.
Thus, the null hypothesis will be rejected at any of the three significance level.
Conclusion:
As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.
Answer:
For the restaurant that charges 95 cents, the z-score is -4.29.
For the restaurant that charges $1, the z-score is -3.57.
For the restaurant that charges $1.35, the z-score is 1.43
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.
This means that
Restaurant that charges 95 cents:
The z-score is found when X = 0.95. So
For the restaurant that charges 95 cents, the z-score is -4.29.
Restaurant that charges $1:.
X = 1
For the restaurant that charges $1, the z-score is -3.57.
Restaurant that charges $1.35:
X = 1.35
For the restaurant that charges $1.35, the z-score is 1.43