91影视

The number of adults who responded in favor is equal to 481, and the number of adults opposed is equal to 401.

The null hypothesis is written as follows:

The proportion of adults who responded in favor is equal to 0.5.

\({H_0}:p = 0.5\)

The alternative hypothesis is written as follows:

The proportion of adults who responded in favor is not equal to 0.5.

\({H_1}:p \ne 0.5\)

The test is two-tailed.

The sample size is computed below:

\[\begin{array}{c}n = 481 + 401\\ = 882\end{array}\]

The sample proportion of adults who responded in favor isas follows:

\[\begin{array}{c}\hat p = \frac{{{\rm{Number}}\;{\rm{of}}\;{\rm{adults}}\;{\rm{who}}\;{\rm{responded}}\;{\rm{in}}\;{\rm{favour}}}}{{{\rm{Sample}}\;{\rm{Size}}}}\\ = \frac{{481}}{{882}}\\ = 0.545\end{array}\]

The population proportion of adults who responded in favor is equal to 0.5.

The value of the test statistic is computed below:

\(\begin{array}{c}z = \frac{{\hat p - p}}{{\sqrt {\frac{{pq}}{n}} }}\\ = \frac{{0.545 - 0.5}}{{\sqrt {\frac{{0.5\left( {1 - 0.5} \right)}}{{882}}} }}\\ = 2.694\end{array}\)

Thus, z=2.694.

Referring to the standard normal distribution table, the critical value of z at\(\alpha = 0.05\)for a two-tailed test is equal to 1.96.

Referring to the standard normal distribution table, the p-value for the test statistic value of 2.694 is equal to 0.0071.

Since the p-value is less than 0.05, the null hypothesis is rejected.

There is enough evidence to reject the claim that the proportion of adults who responded in favor is equal to 0.5.

Since it appears that more than 50% of the adults favor using federal tax dollars to fund medical research using stem cells obtained from human embryos, the politicians claim that the responses of the people are random and do not hold any substantial meaning incorrect.