A direct mail appeal for contributions from a university's alumni is considered effective if more than 15% of the alumni provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochure to a simple random sample of 250 people on the alumni mailing list. He receives monetary contributions form 40 people. Which of the follow alternative hypothesis statements is correct ? Group of answer choices Ha: p > 0.15 Ha: phat > 0.15 Ha: phat > 0.16 Ha: p < 0.16

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis:[tex]p \leq 0.15[/tex]

Alternative hypothesis:[tex]p > 0.15[/tex]

And the best answer for this case would be:

Ha: p > 0.15

Step-by-step explanation:

Information given

n=250 represent the random sample taken

X=40 represent the number of people on the alumni mailing list

[tex]\hat p=\frac{40}{250}=0.16[/tex] estimated proportion of people on the alumni mailing list

[tex]p_o=0.15[/tex] is the value to verify

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis:[tex]p \leq 0.15[/tex]

Alternative hypothesis:[tex]p > 0.15[/tex]

And the best answer for this case would be:

Ha: p > 0.15

joaobezerra joaobezerra · Answer 2 · 2021-12-07T12:22:56+01:00

Testing the hypothesis, it is found that the alternative hypothesis is:

[tex]H_1: p > 0.15[/tex]

At the null hypothesis, it is tested if the mail appeal is not effective, that is, if the population proportion is of at most 15% = 0.15, hence:

[tex]H_0: p \leq 0.15[/tex]

At the alternative hypothesis, it is tested if the mail appeal is effective, that is, if the population proportion is above 15% = 0.15, hence:

[tex]H_1: p > 0.15[/tex]

A similar problem is given at https://brainly.com/question/24330815