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ollegr [7]
3 years ago
8

According to the National Retail Federation, the average shopper will spend $1,007.24 during the holiday shopping season. What i

s the null and alternate hypothesis
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Based on the amount predicted to be spent, the hypotheses will be:

  • Null Hypothesis = $1,007.24
  • Alternate Hypothesis ≠ $1,007.24

The Null Hypothesis is the one that confirms the prediction so in this case it will be that the average shopper will indeed spend $1,007.24.

The Alternate Hypothesis theorizes that the event being predicted will not happen so in this case that would mean that the shopper would not spend $1,007.24.

In conclusion, the null hypothesis confirms and the alternate denies.

<em>Find out more on the null hypothesis at brainly.com/question/15980493.</em>

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Step-by-step explanation:

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
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Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

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Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of selecting a water bottle:

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Probability of selecting a lemon flavored bottle from water bottle:

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<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

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Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

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