1. A student believe that ** no
more than 20% **of the students who finish a statistics course
get

an A. A random sample of ** 100
students** was taken.

As. (** Hint:
Ho: p¡Ø0.2 v.s. Ha: p>0.2**).

¡@

(a) What is ** the standardized test statistic**?

¡@

(b) Test
the hypothesis at the ** ***1% level
of significance* using

* the standardized
test statistic*.

¡@

(c) What is *the
p-value*? *(to 4 digits)*

¡@

(d) Test the hypothesis at the
** ***10% level of significance*
using

* the p-value*.

¡@

2. An official of a large national union claims that the fraction of women in the union

is** not significantly
different from 0.5**. Using the sample information reported below,

carry out a test of this statement. Use a ** 0.05
level of significance**.

Sample size |
400 |

Women |
168 |

Men |
232 |

¡@

(a) What is ** the standardized test statistic**?

¡@

(b) What is the conclusion?

¡@

*Ho:
p¡Ø0.8 v.s. Ha: p>0.8. *

** 400** provided

¡@

(a) What is ** the standardized test statistic**?

¡@

(b) Test the hypothesis at the
** ***5% level of significance*
using

* the standardized
test statistic*.

¡@

(c) What is*
the p-value*? *(to 3 digits)*