Answer:
There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the population proportion.
Proportion in the null hypothesis (p0) = 0.2
Sample size (n) = 75
Sample proportion (sp) = 24/75 = 0.32
Significance level = 0.01
H0: p = 0.2
Ha: p 0.2
Test statistic = (sp - p0) / sqrt ((p0) (1-p0) / n)
Left critical Z value (for 0.01) = -2.5758
Right critical Z value (for 0.01) = 2.5758
Calculated statistic = (0.32 - 0.2) / sqrt ((0.32) (1-0.32) / 75) = 2.2278
Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.
Answer:
70 ft
Step-by-step explanation:
If you draw a diagram, a right triangle is formed from this scenario. Because Carl is directly 35 ft above the ground, this represents the opposite side length in the triangle model. The distance between Carl and island would represent the hypotenuse.
The trig function that corresponds with opposite and hypotenuse legs is Sine.
The equation is sin(30°) =
sin(30) is 1/2. The value of h that would make this equation true is 70. Therefore he is 70 feet away from the island
Answer:
Tbh I thought I knew
Step-by-step explanation:
Sorry