Statistic A survey of 1616 randomly selected adults showed t

Statistic

A survey of 1,616 randomly selected adults showed that 593 of them have heard of a new electronic reader. The accompanying technology display results from a test of the claim that 36% of adults have heard of the new electronic reader. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e). Is the test two-tailed left-tailed or right-tailed? Left-tailed test Two-tailed test Right tailed test What is the test statistic? z = (Round to two decimal places as needed.) What is the P-vahie? P - value = (Round to four decimal places as needed.) What is the null hypothesis and what do you conclude about it? Identify the null hypothesis. Choose the correct answer below. Reject the null hypothesis because the P-vahie is greater than the significance level, alpha. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha. Reject the null hypothesis because the P-vahie is less than or equal to the significance level, alpha. Fail to reject the null hypothesis because the P-vahie is less than or equal to the significance level, alpha.

Solution

Set Up Hypothesis
Under The Null Hypothesis H0:P=0.36
Under The Alternate Hypothesis H1: P!=0.36
Test Statistic
No. Of Success chances Observed (x)=593
Number of objects in a sample provided(n)=1616
No. Of Success Rate ( P )= x/n = 0.367
Success Probability   ( Po )=0.36
Failure Probability ( Qo) = 0.64
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.36696-0.36/(Sqrt(0.2304)/1616)
Zo =0.583
| Zo | =0.583
Critical Value
The Value of |Z ?| at LOS 0.05% is 1.96
We got |Zo| =0.583 & | Z ? | =1.96
Make Decision
Hence Value of |Zo | < | Z ? | and Here we Do not Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 0.58251 ) = 0.56022
Hence Value of P0.05 < 0.5602,Here We Do not Reject Ho

Answers)
1) Two Tailed Test
2) 0.58
3) 0.5602
4) Ho: p = 0.36
5) Failed to Reject the Null Hypothesis P-value is greater than the significance level alpha