Question

An economist believes that the percentage of urban households with internet access is greater than the percentage of rural household with internet access. He obtains a random sample of 800 urban household and finds that 338 of them have internet access. He obtains a random sample of 750 rural households and finals that 292 of them have internet access. Test the economist's claim at the α=0.05levelofsignificance.

In hypothesis testing which of the following is not true?

-The conclusion is reject the null

-The p-value is 0.092 round three decimal place

-The test statistic is Z=1.326 round to three decimal place

-The test is the right tail test

Answer 1

the correct option is :-  The conclusion is reject null

[explanation:-

i am using minitab to solve the problem.

steps :-

stat$1596252758691_blob.png$basic statistics $1596252758709_blob.png$2 proportion $1596252758923_blob.png$ select summarized data from the drop down menu $1596252758793_blob.png$in sample 1 type 338 in number of events , in number of trials type 800$1596252758878_blob.png$in sample 2 type 292 in number of events , in number of trials type 750$1596252758886_blob.png$ tick perform hypothesized test $1596252758907_blob.png$ options $1596252758932_blob.png$ in confidence level type 95$1596252758917_blob.png$in hypothesized difference type 0 select the alternative hypothesis as difference > hypothesized difference $1596252758947_blob.png$ in method select use the pooled estimate of the proportion $1596252758938_blob.png$ok$1596252758939_blob.png$ok.

*** SOLUTION***

hypothesis:-

$H_{0}:p_{1}-p_{2}=0$

$H_{1}:p_{1}-p_{2}>0$

so, this is a right tailed test (hence this statement is true )

Test statistic (z) = 1.329 $\approx$ 1.326 (hence this statement is true )

P value = 0.092 (hence this statement is true )

Decision:

P value = 0.092 >0.05

So. We fail to reject the null hypothesis  (hence this statement "reject the null' is false ) ]

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