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StatisticsQ&A LibraryConduct a test at thealphaαequals=0.05level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whetherp1>p2.The sample data are x1=120,n1=248,x2=133,andn2=302.(a) Choose the correct null and alternative hypotheses below. A.Upper H 0 : p 1 equals p 2H0: p1=p2versus Upper H 1 : p 1 not equals p 2H1: p1≠p2 B.Upper H 0 : p 1 equals p 2H0: p1=p2versus Upper H 1 : p 1 less than p 2H1: p1<p2 C.Upper H 0 : p 1 equals 0H0: p1=0versus Upper H 1 : p 1 not equals 0H1: p1≠0 D.Upper H 0 : p 1 equals p 2H0: p1=p2versus Upper H 1 : p 1 greater than p 2H1: p1>p2Your answer is correct.(b) Determine the test statistic. z0equals=nothing(Round to two decimal places as needed.)Question

Asked Nov 21, 2019

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Conduct a test at the

alphaαequals=0.05

level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling.Test whether

p1>p2.

The sample data are x1=120,
n1=248,

x2=133,

and
n2=302.

(a) Choose the correct null and alternative hypotheses below.

Upper H 0 : p 1 equals p 2H0: p1=p2

versus Upper H 1 : p 1 not equals p 2H1: p1≠p2Upper H 0 : p 1 equals p 2H0: p1=p2

versus Upper H 1 : p 1 less than p 2H1: p1<p2Upper H 0 : p 1 equals 0H0: p1=0

versus Upper H 1 : p 1 not equals 0H1: p1≠0Upper H 0 : p 1 equals p 2H0: p1=p2

versus Upper H 1 : p 1 greater than p 2H1: p1>p2(b) Determine the test statistic.

z0equals=nothing

(Round to two decimal places as needed.)Step 1

The provided values of sample data are *x*_{1}=120, *n*_{1}=248 and *x*_{2}=133, *n*_{2}=302.

The sample proportions for both the samples can be obtained as:

Step 2

a.

The null and alternative hypothesis can be constructed as:

Null hypothesis, *H*_{0}:*p*_{1}=* p*_{2 }(There is no significance difference between both the proportions).

Alternative hypothesis, *H*_{1}:*p*_{1}>* p*_{2 }(The first proportion is greater than the second proportion).

Thus, option D) is correct.

Step 3

b.

The required test statistic ...

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