A toal of 21,650 balls. It sold 11,795 baseballs. It sold 4,150 fewer basketballs than baseballs. The rest of the balls sold wer
1 answer:
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Answer: 3.7 in.
Step-by-step explanation:
Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.
To find: The maximum radius of the basketball that the designer can create.
For this, Surface area of basketball = area of fabric
Formula: Surface area of sphere = , where r is the radius.
Then,
Hence, the maximum radius of the basketball that the designer can create is 3.7 in.
Answer:
20 yards
Step-by-step explanation:
<h3>Square root:</h3>
Answer:
(a) Margin of error = 0.0212.
(b) 95% confidence interval for the population proportion of people who believe in heaven is [0.82 , 0.86].
Step-by-step explanation:
We are given that when 1146 subjects were asked, "Do you believe in heaven?" the proportion who answered yes was 0.84. The standard deviation of this point estimate is 0.01.
(a) Margin of error tells us that how many percentage points our results will differ from the true population proportion value.
Margin of error is given by =
where, = point estimate or sample proportion = 0.84
n = sample of subjects = 1146
= significance level = 1 - 0.95 = 0.05
So, value of in z table is given as 1.96
Hence, <u>Margin of error</u> = = <u>0.0212</u>
(b) Firstly, the pivotal quantity for 95% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion of people who answered yes = 0.84
n = sample of subjects = 1146
p = population proportion of people
<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>
<em />
So, 95% confidence interval for the population population, p is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( < p <
) = 0.95
<u>95% confidence interval for p</u> = [ ,
]
= [ ,
]
= [0.82 , 0.0.86]
Therefore, 95% confidence interval for the population proportion of people who believe in heaven is [0.82 , 0.86].
Interpretation of above confidence interval is that we are 95% confident that the population proportion of people who believe in heaven will lie between 0.82 and 0.86.