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Afina-wow
2 months ago
13

A student wants to determine if pennies are really fair when flipped, meaning equally likely to land heads up or tails up. He fl

ips a random sample of 50 pennies and finds that 28 of them land heads up. If p denotes the true probability of a penny landing heads up when flipped, what are the appropriate null and alternative hypotheses?
Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
7 0
In this scenario, we aim to assess if pennies are genuinely fair when tossed, indicating that they have an equal chance of landing heads or tails. Therefore, the appropriate hypotheses are as follows: Null hypothesis: Alternative hypothesis: A hypothesis can be defined as "a conjecture or theory that is based on inadequate evidence and can be subjected to further examination and experimentation. With continued investigation, a hypothesis can typically be validated as true or false." The null hypothesis is defined as "a hypothesis that posits no statistical significance between the two variables in question. It represents what the researcher seeks to refute." Conversely, the alternative hypothesis is simply "the opposite or inverse of the null hypothesis; it is what the researcher aims to substantiate." For this study, we wish to confirm if pennies are indeed fair when flipped, meaning an equal chance to land heads versus tails, hence the proper hypotheses are: Null hypothesis: Alternative hypothesis:
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A kids skipping rope is 7ft long. How many ropes could I cut from a 10 yard long piece of rope?
lawyer [12517]
3 feet make one yard.
Multiplying 3 by 10 gives 30 feet.
Dividing 30 by 7 gives approximately 4.2.
Answer: 4 ropes can be cut.
Since partial ropes cannot be counted, only 4 full ropes are possible.
7 0
3 months ago
an amusement park sells child and adult tickets at a ratio of 8 to 1 on Saturday they sold 147 more child tickets than adult tic
lawyer [12517]
189 tickets were purchased on Saturday. The ratio of children's tickets to adult tickets is 8:1, indicating that 8 times as many children's tickets were sold compared to adult tickets. Let c represent the number of children's tickets and a the number of adult tickets. Therefore, 8a = a + 147. By subtracting a from both sides, we find 7a = 147. Upon dividing both sides by 7, we find a = 21 adult tickets. By multiplying the number of adult tickets by 8, we discover that 21 * 8 = 168 children's tickets. Adding these together gives a total of 168 + 21 = 189 tickets sold on Saturday.
7 0
2 months ago
Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second.The distance d (in
Zina [12379]
From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation ​d=|300−48t|​. At what moments does the car find itself 60 feet away from you?
4 0
2 months ago
To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices
babunello [11817]

Answer:

Step-by-step explanation:

The prices he received quotes for are as follows: $663, $273, $410, $622, $174, $374

To begin, we will find the average.

Average = total of data points/ number of data points.

Total of data points =

663 + 273 + 410 + 622 + 174 + 374

= 2516

Total count = 6

Average = 2516/6 = 419.33

Standard deviation = √summation(x - m)^2/n

summation(x - m)^2/n = (663 - 419.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2

= 179417.9334/6 = 29902.9889

Standard deviation = √29902.9889

= 172.9

6 0
1 month ago
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