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Serga [27]
3 years ago
11

Dance club has a $20 start up fee and a $5 monthly fee M= B= Y=

Mathematics
1 answer:
labwork [276]3 years ago
6 0

9514 1404 393

Answer:

  y = 5x +20

Step-by-step explanation:

We assume you want the total cost (y) of x months of membership at the dance club.

This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).

  y = 5x +20

Comparing this to the slope-intercept form of the equation of a line, we see ...

  y = mx + b

  m = 5

  b = 20

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A recent broadcast of a television show had a 10 ​share, meaning that among 6000 monitored households with TV sets in​ use, 10​%
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Null and alternative hypothesis

H_0: \pi \geq0.25\\\\H_1: \pi

Test statistic z=-26.82

P-value P=0

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

H_0: \pi \geq0.25\\\\H_1: \pi

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

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The test statistic is calculated as:

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Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

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