It is claimed that the proportion of doctors who recommend the leading brand of ibuprofen is 90%. To test this claim against the alternative that the actual proportion of doctors who recommend the leading brand is greater than 90%, a random sample of 100 docto results in 94 who indicate that they recommend the leading brand. Compute the test statistic.

Q: g) cos () lim x cos X COS

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

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A: Since all are  represent  unit vector .

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A: First we simplfy the bracket and then solve it for the value of x.

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

A:

Q: a) ||

A: Given Data: a→=-3, 0, -1b→=1, -3, -5   The value of the vector b→ is, b→=x2+y2+z2 Here, x is x…

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A: Use substitution method to solve the integral

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A:

Q: 10) lim

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Q: 9) 10) 11) 45 109 136 93 61 65 9. s = 10. t = 11. r = WARON edu

A: We have to find angle

Q: 424-454

A:

Q: 4 24) 4 27) + 8 = %3= 15 2|7

A: As the first question is already solved correctly we can solve the other two question as below.

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A:

Q: 13 in 5 in

A:

Q: 6 3) Let C = -2 8 Find 2 C

A: We have given a matrix C  We have to find (1/2)C

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Q: 13. Find B x A, if A = {0,1,2} and B = {a, b}

A: B×A={ (x,y) : x€B and y€A}

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A:

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A:

Q: Find A³ if A = {c, d}.

A: Cartesian product of c, d and c, d isc, c, c, d, d, c, d, d Further,           c, d× c, c, c, d, d,…

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A:

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A: Arc length  S = r.theta   So, 1 .     a = 75r 2.  b = 92/r  3 . c = 108/r

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A:

Q: 16) Find So R

A: