7. Hypothesis Testing: Hypothesis Test for a Population Proportion
Large-sample Proportion Test: Test Statistic and p-value
A politician claims that #90\%# of citizens are in favor of her new law proposal.
To test this claim, a journalist working at a newspaper surveys #75# citizens, using random sampling. Let #X# denote the number of citizens who are in favor of the new law.
The journalist plans on using a hypothesis test to determine if the proportion of citizens who are in favor of the new law significantly differs from #0.90#, at the #\alpha = 0.03# level of significance.
State the null and alternative hypotheses of the proposed test.
To test this claim, a journalist working at a newspaper surveys #75# citizens, using random sampling. Let #X# denote the number of citizens who are in favor of the new law.
The journalist plans on using a hypothesis test to determine if the proportion of citizens who are in favor of the new law significantly differs from #0.90#, at the #\alpha = 0.03# level of significance.
State the null and alternative hypotheses of the proposed test.
#H_0 : \pi\,\,#
#H_a : \pi\,\,#
#H_a : \pi\,\,#
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