In 2011, a U. S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.

a) Determine the null and alternative hypotheses.

H0: p =
Ha:P Select an answer (Put in the correct symbol and value)

b) Determine the test statistic. Round to two decimals.
c) Find the p-value. Round to 4 decimals.

P-value =

(a) Null Hypothesis, : p = 71%   

    Alternate Hypothesis, : p 71%  

(b) The test statistics is 3.25.

(c) The p-value is 0.0006.

Step-by-step explanation:

We are given that a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then.

A survey of 110 college students reported that 91 of them work.

Let p = proportion of college students who work

(a) Null Hypothesis, : p = 71%   {means that % of college students who work is same as 71% since 2011}

Alternate Hypothesis, : p 71%   {means that % of college students who work is different from 71% since 2011}

The test statistics that will be used here is One-sample z proportion statistics;

                                 T.S.  =   ~ N(0,1)

where, = sample proportion of college students who reported they work = = 82.73%

           n = sample of students = 110

(b) So, test statistics  =  

                                    =  3.25

The test statistics is 3.25.

(c) P-value of the test statistics is given by the following formula;

       P-value = P(Z > 3.25) = 1 - P(Z 3.25)

                                            = 1 - 0.99942 = 0.0006

So, the p-value is 0.0006.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.