In a Leichtman Research Group survey of 1050 TV households, 75% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 79%. Test that claim using a 0.10 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.

Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses.

H0: p = 0

H1: p 0

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

z=?

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

P-value=?

(Round to three decimal places as needed.)

Part 4

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

• Accept/Reject/Fail to reject the null hypothesis. There is/is not sufficient evidence to support/warrant rejection of the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 79%