4.65 x 10 to the 3rd power
1 answer:
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Answer:
Yes, Hypothesis test represents a statistically significant difference from 50% .
Step-by-step explanation:
We are given that 400 students were randomly sampled from a large university, and 289 said they did not get enough sleep.
Let Null Hypothesis, : p = 0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is 50%}
Alternate Hypothesis, : p
0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, = sample proportion = 289/400 = 0.7225
n = sample of students = 400
So, test statistics = = 3.143
<em>Now, at 1% level of significance, z table gives critical value of 2.5758. Since our test statistics is more than the critical value which means test statistics will lie in the rejection region, so we have sufficient evidence to reject null hypothesis.</em>
Therefore, we conclude that from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%.
Answer:
Cost of one book = $61
and cost of another book =$17
Step-by-step explanation:
Let the cost of one book be x and cost of another book be y.
According to given problem,
x = 3y+4 {one book cost four dollars more than three times the other}
And x + y =72 {two books cost $72}
So we got two equations:
x = 3y+4 -------------(1)
x + y = 72 ---------------(2)
Subtract equation (1) from (2)
i.e x + y - x = 72 - 3y -4
or y = 68 - 3y
or y +3y =68
or y =
or y = 17
Then x = 3y + 4 = 3×19 + 4 =61
Hence we got, cost of one book = x =$61
Cost of another book = y = $17