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Let the random variable p indicate the population proportion of people who plan to vote for...

Let the random variable p indicate the population proportion of people who plan to vote for Donald Trump in the upcoming election. In a sample of 50 people, you find the sample proportion of people who plan to vote for Donald Trump is  p ^ = .45.

Construct a 95% confidence interval for p, the true proportion of people who plan to vote for Donald Trump.

You want to test the hypothesis that the population proportion of people who will vote for Donald Trump is less than .5( i . e . H 0 : p ≥ 0.5 ; H A < 0.5 ). What is the value of the test statistic and p-value for the above hypothesis test?

Using the hypothesis test from the previous problem, and assuming the test statistic you found was -1.87, at which of the following levels of significance can you reject the null hypothesis at?

Math   Statistics-And-Probability   
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Answer #1

a) The 95% confidence interval for p , the true proportion of people who plan to vote for Donald Trump is

b) Hypothesis: Vs  

The test statistic is ,

The p-value is ,

p-value=

; From standard normal distribution table

c) Assume that test statistic is -1.87

For level of significance

The critical value is ,

Decision : Here , -1.87 < -2.33

Therefore , reject the null hypothesis.

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